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Finding the Fourth Proportional to 363, 502.26 and 316.47

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Solution

The fourth proportional to 363, 502.26 and 316.47 is: 437.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    363 : 502.26 = 316.47 : x
  2. Step 2: Convert to fraction form
    363/502.26 = 316.47/x
  3. Step 3: Cross multiply
    363x = 502.26 × 316.47
  4. Step 4: Simplify right side
    363x = 158,948.64
  5. Step 5: Solve for x
    x = 158,948.64/363
  6. Step 6: Final answer
    x = 437.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.