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Finding the Fourth Proportional to 221.75, 332.61 and 77.47

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Solution

The fourth proportional to 221.75, 332.61 and 77.47 is: 116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.75 : 332.61 = 77.47 : x
  2. Step 2: Convert to fraction form
    221.75/332.61 = 77.47/x
  3. Step 3: Cross multiply
    221.75x = 332.61 × 77.47
  4. Step 4: Simplify right side
    221.75x = 25,767.30
  5. Step 5: Solve for x
    x = 25,767.30/221.75
  6. Step 6: Final answer
    x = 116.20

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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.