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Finding the Fourth Proportional to 63.97, 96.33 and 53.24

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Solution

The fourth proportional to 63.97, 96.33 and 53.24 is: 80.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.97 : 96.33 = 53.24 : x
  2. Step 2: Convert to fraction form
    63.97/96.33 = 53.24/x
  3. Step 3: Cross multiply
    63.97x = 96.33 × 53.24
  4. Step 4: Simplify right side
    63.97x = 5,128.13
  5. Step 5: Solve for x
    x = 5,128.13/63.97
  6. Step 6: Final answer
    x = 80.17

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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.