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Finding the Fourth Proportional to 63.28, 86.64 and 61.12

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Solution

The fourth proportional to 63.28, 86.64 and 61.12 is: 83.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.28 : 86.64 = 61.12 : x
  2. Step 2: Convert to fraction form
    63.28/86.64 = 61.12/x
  3. Step 3: Cross multiply
    63.28x = 86.64 × 61.12
  4. Step 4: Simplify right side
    63.28x = 5,295.44
  5. Step 5: Solve for x
    x = 5,295.44/63.28
  6. Step 6: Final answer
    x = 83.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.