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Finding the Fourth Proportional to 166.38, 249.59 and 63.75

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Solution

The fourth proportional to 166.38, 249.59 and 63.75 is: 95.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.38 : 249.59 = 63.75 : x
  2. Step 2: Convert to fraction form
    166.38/249.59 = 63.75/x
  3. Step 3: Cross multiply
    166.38x = 249.59 × 63.75
  4. Step 4: Simplify right side
    166.38x = 15,911.10
  5. Step 5: Solve for x
    x = 15,911.10/166.38
  6. Step 6: Final answer
    x = 95.63

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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.