Three-spot gouramies have long ventral 'feelers' which makes them prone to having these fins nipped off by nippy fish like tiger barbs. There is a chance that if you put the barbs in and add 3-4 new barbs in with them at the same time, they won't immediately go for the gouramies and they'll all settle down together and get along. A bigger school also generaly disperses aggression within the shoal so as to reduce nipping of other species. However, gold gouramies get to 5-6" and barbs to 2.5" or so and 9-10 tigers with 4 gouramies would be quite heavy stocking for a 30 gallon.
Adding the 6 barbs to the tank with the 4 gouramies without adding more barbs is probably just asking for trouble and the fins of your gouramies will soon be nipped off which can lead to infection (though they do usualy grow back) and subsequently death.
I'd also like to warn you that, unless you have 3 females and 1 male, the 4 gold gouramies might end up killing each other once full grown. Males won't usualy tolerate each other at all once they start getting realy territorial. I'd also reccomend adding a lot of floating plants and tall rooted plants to this tank if you plan to keep more than one adult gold in there.