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Finding the Fourth Proportional to 168.48, 252.64 and 87.24

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Solution

The fourth proportional to 168.48, 252.64 and 87.24 is: 130.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.48 : 252.64 = 87.24 : x
  2. Step 2: Convert to fraction form
    168.48/252.64 = 87.24/x
  3. Step 3: Cross multiply
    168.48x = 252.64 × 87.24
  4. Step 4: Simplify right side
    168.48x = 22,040.31
  5. Step 5: Solve for x
    x = 22,040.31/168.48
  6. Step 6: Final answer
    x = 130.82

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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.