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Finding the Fourth Proportional to 146.76, 221.11 and 132.88

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Solution

The fourth proportional to 146.76, 221.11 and 132.88 is: 200.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.76 : 221.11 = 132.88 : x
  2. Step 2: Convert to fraction form
    146.76/221.11 = 132.88/x
  3. Step 3: Cross multiply
    146.76x = 221.11 × 132.88
  4. Step 4: Simplify right side
    146.76x = 29,381.10
  5. Step 5: Solve for x
    x = 29,381.10/146.76
  6. Step 6: Final answer
    x = 200.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.