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Finding the Fourth Proportional to 63.46, 95.20 and 31.42

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Solution

The fourth proportional to 63.46, 95.20 and 31.42 is: 47.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.46 : 95.20 = 31.42 : x
  2. Step 2: Convert to fraction form
    63.46/95.20 = 31.42/x
  3. Step 3: Cross multiply
    63.46x = 95.20 × 31.42
  4. Step 4: Simplify right side
    63.46x = 2,991.18
  5. Step 5: Solve for x
    x = 2,991.18/63.46
  6. Step 6: Final answer
    x = 47.13

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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.