you will need a different adapter. either a stand alone one to fit the brush and hose, or one to add to the one you have already (less preferable as more join = more potential leaks to sort out)
The airbrush is a 1/8" standard pipe fitting. The hose... I cant say, you hopefully know that as youve already aquired an adapter (which looks to be 1/4" standard pipe at the other end)
edit;
http://www.everythingairbrush.com/acatalog/Airline_Accessories_and_Hoses.html
this place carries a lot of useful adapters, hoses, paints, airbrushes and accessories

I expect them to have what you will need.