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Finding the Fourth Proportional to 221.17, 331.96 and 113.04

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Solution

The fourth proportional to 221.17, 331.96 and 113.04 is: 169.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.17 : 331.96 = 113.04 : x
  2. Step 2: Convert to fraction form
    221.17/331.96 = 113.04/x
  3. Step 3: Cross multiply
    221.17x = 331.96 × 113.04
  4. Step 4: Simplify right side
    221.17x = 37,524.76
  5. Step 5: Solve for x
    x = 37,524.76/221.17
  6. Step 6: Final answer
    x = 169.66

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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.