The power of halides of boron to act as Lewis acids decreases in the order
BF3 > BCl3 > BBr3
BBr3 > BCl3 > BF3
BCl3 > BF3 > BBr3
BCl3 > BBr3 > BF3
Order of Lewis acid strength of boron halides is
BI3 > BBr3 > BCl3 > BF3
This order is explained on the basis of pπ-pπ back bonding opposite to expected order due to electronegativity