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Finding the Fourth Proportional to 249.46, 371.21 and 240.82

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Solution

The fourth proportional to 249.46, 371.21 and 240.82 is: 358.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.46 : 371.21 = 240.82 : x
  2. Step 2: Convert to fraction form
    249.46/371.21 = 240.82/x
  3. Step 3: Cross multiply
    249.46x = 371.21 × 240.82
  4. Step 4: Simplify right side
    249.46x = 89,394.79
  5. Step 5: Solve for x
    x = 89,394.79/249.46
  6. Step 6: Final answer
    x = 358.35

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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.