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Finding the Fourth Proportional to 168.64, 252.84 and 81.96

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Solution

The fourth proportional to 168.64, 252.84 and 81.96 is: 122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.64 : 252.84 = 81.96 : x
  2. Step 2: Convert to fraction form
    168.64/252.84 = 81.96/x
  3. Step 3: Cross multiply
    168.64x = 252.84 × 81.96
  4. Step 4: Simplify right side
    168.64x = 20,722.77
  5. Step 5: Solve for x
    x = 20,722.77/168.64
  6. Step 6: Final answer
    x = 122.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.