Yeah youll need a larger tank eventually like a 180 or the 200 you mentioned.
By the way, rarely anyone is able to keep one long enough to get to 38. Inches, looking around the biggest youll usually find are 18 or 19 inches.
He'll be fine in that till he's a couple inches short of how deep the tank is. Im guessing its 12" deep?
anyway, you want to upgrade him before he starts having trouble turning around.
Goodluck!