In Long Term Evolution Advanced networks with Type I in-band half-duplex decode-and-forward relay nodes, proportional fair (PF) resource allocation is aiming at guaranteeing two-hop match and optimising global proportional fairness. The twohop match is defined as equal data rates in the access links and the corresponding backhaul links. The global proportional fairness is between all the user equipments served by the evolved nodes B and the relay nodes. Existing centralised schemes achieve these targets at the cost of enormous channel state information (CSI) exchange. Existing distributed schemes focus on resource partitioning and employ a traditional single-hop PF scheduling algorithm in access links, with less CSI exchange. The traditional PF scheduling algorithm maximises single-hop proportional fairness between the data rates in the access links rather than two-hop proportional fairness between the end-to-end data rates in the two hops. In order to reduce CSI exchange and at the same time to maximise the two-hop proportional fairness, a distributed two-hop PF resource allocation scheme is proposed. The proposed scheme includes two-hop PF resource scheduling algorithms and adaptive resource partitioning algorithms, applied in different two-hop transmission protocols. Simulation results demonstrate the proposed scheme is better than the existing distributed schemes in obtaining better proportional fairness and larger celledge user equipment throughputs.