TSH is a pituitary hormone that is affected by so many variables, including the time of day when blood is drawn, that it is totally inadequate as a diagnostic for medicating a thyroid patient. Its usefulness is mainly during early diagnosis. Of much greater importance is symptoms and the levels of Free T3 and Free T4, and sometimes Reverse T3 as well.
I wouldn't bother spending a minute worrying about the changes in TSH related to meds changes. Your doctor should be treating you clinically, by testing and adjusting Free T3 and Free T4 as necessary to relieve symptoms, without being constrained by resultant TSH levels. Symptom relief should be all important, not just test results, and especially not TSH results.
For some insight, have a look at this letter written by a good thyroid doctor for patients that he sometimes consults with from a distance after an initial evaluation and tests. The letter is then sent to the participating PCP of the patient to help guide treatment. Take special note of this statement, "the ultimate criterion for dose adjustment must always be the clinical response of the patient."
http://hormonerestoration.com/files/ThyroidPMD.pdf
I guess the bigger question is...when an experienced doctor orders a dosage increase, are they just wingin' it? Or is there a scientific method of calculating an increase of synthroid?
The other mathimatical way to look at it might be...if a .25 increase dropped my TSH 3.05, then a .10 increase would drop it approximately 1.22. That would get me to 2.16, which would be better than the 2.74. I assume this is all a waste of time and there's no reliable way to calculate how your body might react.