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Finding the Fourth Proportional to 316.62, 475.17 and 172.38

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Solution

The fourth proportional to 316.62, 475.17 and 172.38 is: 258.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.62 : 475.17 = 172.38 : x
  2. Step 2: Convert to fraction form
    316.62/475.17 = 172.38/x
  3. Step 3: Cross multiply
    316.62x = 475.17 × 172.38
  4. Step 4: Simplify right side
    316.62x = 81,909.80
  5. Step 5: Solve for x
    x = 81,909.80/316.62
  6. Step 6: Final answer
    x = 258.70

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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.