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Finding the Fourth Proportional to 221.10, 331.64 and 84.13

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Solution

The fourth proportional to 221.10, 331.64 and 84.13 is: 126.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.10 : 331.64 = 84.13 : x
  2. Step 2: Convert to fraction form
    221.10/331.64 = 84.13/x
  3. Step 3: Cross multiply
    221.10x = 331.64 × 84.13
  4. Step 4: Simplify right side
    221.10x = 27,899.94
  5. Step 5: Solve for x
    x = 27,899.94/221.10
  6. Step 6: Final answer
    x = 126.19

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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.