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Finding the Fourth Proportional to 168.38, 252.20 and 76.96

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Solution

The fourth proportional to 168.38, 252.20 and 76.96 is: 115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.38 : 252.20 = 76.96 : x
  2. Step 2: Convert to fraction form
    168.38/252.20 = 76.96/x
  3. Step 3: Cross multiply
    168.38x = 252.20 × 76.96
  4. Step 4: Simplify right side
    168.38x = 19,409.31
  5. Step 5: Solve for x
    x = 19,409.31/168.38
  6. Step 6: Final answer
    x = 115.27

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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.