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Finding the Fourth Proportional to 252.49, 375.87 and 240.70

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Solution

The fourth proportional to 252.49, 375.87 and 240.70 is: 358.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.49 : 375.87 = 240.70 : x
  2. Step 2: Convert to fraction form
    252.49/375.87 = 240.70/x
  3. Step 3: Cross multiply
    252.49x = 375.87 × 240.70
  4. Step 4: Simplify right side
    252.49x = 90,471.91
  5. Step 5: Solve for x
    x = 90,471.91/252.49
  6. Step 6: Final answer
    x = 358.32

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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.