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Finding the Fourth Proportional to 166.20, 249.26 and 74.90

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Solution

The fourth proportional to 166.20, 249.26 and 74.90 is: 112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.20 : 249.26 = 74.90 : x
  2. Step 2: Convert to fraction form
    166.20/249.26 = 74.90/x
  3. Step 3: Cross multiply
    166.20x = 249.26 × 74.90
  4. Step 4: Simplify right side
    166.20x = 18,667.95
  5. Step 5: Solve for x
    x = 18,667.95/166.20
  6. Step 6: Final answer
    x = 112.32

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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.