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Finding the Fourth Proportional to 99.24, 136.84 and 60.40

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Solution

The fourth proportional to 99.24, 136.84 and 60.40 is: 83.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.24 : 136.84 = 60.40 : x
  2. Step 2: Convert to fraction form
    99.24/136.84 = 60.40/x
  3. Step 3: Cross multiply
    99.24x = 136.84 × 60.40
  4. Step 4: Simplify right side
    99.24x = 8,265.14
  5. Step 5: Solve for x
    x = 8,265.14/99.24
  6. Step 6: Final answer
    x = 83.28

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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.