Finding the Fourth Proportional to 249.42, 343.98 and 162
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Solution
The fourth proportional to 249.42, 343.98 and 162 is: 223.42
Step by Step Solution
- Step 1: Write the proportion equation
249.42 : 343.98 = 162 : x - Step 2: Convert to fraction form
249.42/343.98 = 162/x - Step 3: Cross multiply
249.42x = 343.98 × 162 - Step 4: Simplify right side
249.42x = 55,724.76 - Step 5: Solve for x
x = 55,724.76/249.42 - Step 6: Final answer
x = 223.42
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.