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Finding the Fourth Proportional to 221.30, 332.07 and 82.57

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Solution

The fourth proportional to 221.30, 332.07 and 82.57 is: 123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.30 : 332.07 = 82.57 : x
  2. Step 2: Convert to fraction form
    221.30/332.07 = 82.57/x
  3. Step 3: Cross multiply
    221.30x = 332.07 × 82.57
  4. Step 4: Simplify right side
    221.30x = 27,419.43
  5. Step 5: Solve for x
    x = 27,419.43/221.30
  6. Step 6: Final answer
    x = 123.90

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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.