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Finding the Fourth Proportional to 63.68, 96.10 and 61.31

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Solution

The fourth proportional to 63.68, 96.10 and 61.31 is: 92.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.68 : 96.10 = 61.31 : x
  2. Step 2: Convert to fraction form
    63.68/96.10 = 61.31/x
  3. Step 3: Cross multiply
    63.68x = 96.10 × 61.31
  4. Step 4: Simplify right side
    63.68x = 5,891.89
  5. Step 5: Solve for x
    x = 5,891.89/63.68
  6. Step 6: Final answer
    x = 92.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.