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Finding the Fourth Proportional to 221.67, 332.39 and 82.80

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Solution

The fourth proportional to 221.67, 332.39 and 82.80 is: 124.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.67 : 332.39 = 82.80 : x
  2. Step 2: Convert to fraction form
    221.67/332.39 = 82.80/x
  3. Step 3: Cross multiply
    221.67x = 332.39 × 82.80
  4. Step 4: Simplify right side
    221.67x = 27,520.02
  5. Step 5: Solve for x
    x = 27,520.02/221.67
  6. Step 6: Final answer
    x = 124.15

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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.