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Finding the Fourth Proportional to 168.64, 232.76 and 98.73

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Solution

The fourth proportional to 168.64, 232.76 and 98.73 is: 136.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.64 : 232.76 = 98.73 : x
  2. Step 2: Convert to fraction form
    168.64/232.76 = 98.73/x
  3. Step 3: Cross multiply
    168.64x = 232.76 × 98.73
  4. Step 4: Simplify right side
    168.64x = 22,979.90
  5. Step 5: Solve for x
    x = 22,979.90/168.64
  6. Step 6: Final answer
    x = 136.27

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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.