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Finding the Fourth Proportional to 221.38, 331.90 and 84.41

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Solution

The fourth proportional to 221.38, 331.90 and 84.41 is: 126.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.38 : 331.90 = 84.41 : x
  2. Step 2: Convert to fraction form
    221.38/331.90 = 84.41/x
  3. Step 3: Cross multiply
    221.38x = 331.90 × 84.41
  4. Step 4: Simplify right side
    221.38x = 28,015.68
  5. Step 5: Solve for x
    x = 28,015.68/221.38
  6. Step 6: Final answer
    x = 126.55

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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.