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Finding the Fourth Proportional to 166.25, 249.30 and 97.80

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Solution

The fourth proportional to 166.25, 249.30 and 97.80 is: 146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.25 : 249.30 = 97.80 : x
  2. Step 2: Convert to fraction form
    166.25/249.30 = 97.80/x
  3. Step 3: Cross multiply
    166.25x = 249.30 × 97.80
  4. Step 4: Simplify right side
    166.25x = 24,380.61
  5. Step 5: Solve for x
    x = 24,380.61/166.25
  6. Step 6: Final answer
    x = 146.65

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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.