Finding the Fourth Proportional to 292, 402.96 and 200.16
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Solution
The fourth proportional to 292, 402.96 and 200.16 is: 276.22
Step by Step Solution
- Step 1: Write the proportion equation
292 : 402.96 = 200.16 : x - Step 2: Convert to fraction form
292/402.96 = 200.16/x - Step 3: Cross multiply
292x = 402.96 × 200.16 - Step 4: Simplify right side
292x = 80,656.47 - Step 5: Solve for x
x = 80,656.47/292 - Step 6: Final answer
x = 276.22
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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.