Step 1: Separate the four gases by what they actually do in the body.
Nitrous oxide gives sedation and pain relief during anaesthesia. Nitrogen is chemically inert and just fills space in the lungs. Nitrogen dioxide is a harmful gas that injures the airway lining. None of these change blood vessel tone in the lung.
Step 2: Bring in nitric oxide's mechanism. \[ NO \rightarrow \text{guanylate cyclase} \rightarrow \uparrow cGMP \rightarrow \text{smooth muscle relaxation} \]
This pathway is the same one used by drugs like nitroglycerin, but here the gas itself is delivered directly by inhalation.
Step 3: Note the safety feature that makes it useful.
As soon as nitric oxide crosses into the blood, haemoglobin grabs it and turns it into methaemoglobin, so it cannot travel onward to dilate vessels elsewhere in the body. This means only the pulmonary vessels next to ventilated alveoli feel the drop in tone, and systemic blood pressure stays steady.
Step 4: Conclude.
This selective, lung confined vasodilation is exactly why inhaled nitric oxide is used to bring down a raised pulmonary artery pressure in adults.
\[ \boxed{\text{Nitric Oxide}} \]