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Finding the Fourth Proportional to 475.31, 713.17 and 167.38

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Solution

The fourth proportional to 475.31, 713.17 and 167.38 is: 251.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.31 : 713.17 = 167.38 : x
  2. Step 2: Convert to fraction form
    475.31/713.17 = 167.38/x
  3. Step 3: Cross multiply
    475.31x = 713.17 × 167.38
  4. Step 4: Simplify right side
    475.31x = 119,369.98
  5. Step 5: Solve for x
    x = 119,369.98/475.31
  6. Step 6: Final answer
    x = 251.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.