Step 1: ABPI is calculated by dividing the higher ankle systolic pressure by the brachial systolic pressure; it quantifies how badly the lower-limb arteries are narrowed.
Step 2: As the ratio falls the clinical picture deteriorates in steps: a healthy limb sits near 1.0, intermittent claudication develops below about 0.9, and rest pain emerges near 0.4.
Step 3: Once the value sinks below $0.3$ the residual blood flow is inadequate to keep tissue alive, so frank necrosis and gangrene are imminent.
Step 4: The other listed figures correspond to milder ischaemia and would not herald tissue death.
\[\boxed{\lt 0.3}\]