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Finding the Fourth Proportional to 168.74, 251.98 and 132.26

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Solution

The fourth proportional to 168.74, 251.98 and 132.26 is: 197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.74 : 251.98 = 132.26 : x
  2. Step 2: Convert to fraction form
    168.74/251.98 = 132.26/x
  3. Step 3: Cross multiply
    168.74x = 251.98 × 132.26
  4. Step 4: Simplify right side
    168.74x = 33,326.87
  5. Step 5: Solve for x
    x = 33,326.87/168.74
  6. Step 6: Final answer
    x = 197.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.