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Finding the Fourth Proportional to 96.48, 133.17 and 63.27

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Solution

The fourth proportional to 96.48, 133.17 and 63.27 is: 87.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.48 : 133.17 = 63.27 : x
  2. Step 2: Convert to fraction form
    96.48/133.17 = 63.27/x
  3. Step 3: Cross multiply
    96.48x = 133.17 × 63.27
  4. Step 4: Simplify right side
    96.48x = 8,425.67
  5. Step 5: Solve for x
    x = 8,425.67/96.48
  6. Step 6: Final answer
    x = 87.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.