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Finding the Fourth Proportional to 221.52, 332.08 and 125.12

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Solution

The fourth proportional to 221.52, 332.08 and 125.12 is: 187.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.52 : 332.08 = 125.12 : x
  2. Step 2: Convert to fraction form
    221.52/332.08 = 125.12/x
  3. Step 3: Cross multiply
    221.52x = 332.08 × 125.12
  4. Step 4: Simplify right side
    221.52x = 41,549.85
  5. Step 5: Solve for x
    x = 41,549.85/221.52
  6. Step 6: Final answer
    x = 187.57

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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.