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Finding the Fourth Proportional to 166.87, 249.18 and 132.25

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Solution

The fourth proportional to 166.87, 249.18 and 132.25 is: 197.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.87 : 249.18 = 132.25 : x
  2. Step 2: Convert to fraction form
    166.87/249.18 = 132.25/x
  3. Step 3: Cross multiply
    166.87x = 249.18 × 132.25
  4. Step 4: Simplify right side
    166.87x = 32,954.06
  5. Step 5: Solve for x
    x = 32,954.06/166.87
  6. Step 6: Final answer
    x = 197.48

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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.