tramsformer input output
I have one machine with transformer from 208 3 phase to 400 3 phase,
  what will happen if I connect the transformer to 360 V 3 phase as
  input is it will be okay or not?


I'm taking this question as meaning you want to put 360V 3ph onto a transformer that is normally rated for 208V 3 ph. If so, don't do it - you'll likely blow fuses (due to the transformer laminations magnetically saturating.

If in fact you mean connect 360V 3 ph to the 400V side then this is less of a problem but if you are feeding it 50Hz instead of the mormal 60Hz then you might get some overheating still due to the lower frequency cancelling the effective reduced voltage. The voltage reduction is to 90% whereas the current increase due to dropping 60Hz to 50Hz is +20%. Net effect might be 10% more current and this could still cause problems.