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Finding the Fourth Proportional to 63.32, 95.02 and 31.24

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Solution

The fourth proportional to 63.32, 95.02 and 31.24 is: 46.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.32 : 95.02 = 31.24 : x
  2. Step 2: Convert to fraction form
    63.32/95.02 = 31.24/x
  3. Step 3: Cross multiply
    63.32x = 95.02 × 31.24
  4. Step 4: Simplify right side
    63.32x = 2,968.42
  5. Step 5: Solve for x
    x = 2,968.42/63.32
  6. Step 6: Final answer
    x = 46.88

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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.