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Finding the Fourth Proportional to 249.12, 371.76 and 221.85

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Solution

The fourth proportional to 249.12, 371.76 and 221.85 is: 331.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.12 : 371.76 = 221.85 : x
  2. Step 2: Convert to fraction form
    249.12/371.76 = 221.85/x
  3. Step 3: Cross multiply
    249.12x = 371.76 × 221.85
  4. Step 4: Simplify right side
    249.12x = 82,474.96
  5. Step 5: Solve for x
    x = 82,474.96/249.12
  6. Step 6: Final answer
    x = 331.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.