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Finding the Fourth Proportional to 371.78, 512.61 and 240.74

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Solution

The fourth proportional to 371.78, 512.61 and 240.74 is: 331.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.78 : 512.61 = 240.74 : x
  2. Step 2: Convert to fraction form
    371.78/512.61 = 240.74/x
  3. Step 3: Cross multiply
    371.78x = 512.61 × 240.74
  4. Step 4: Simplify right side
    371.78x = 123,405.73
  5. Step 5: Solve for x
    x = 123,405.73/371.78
  6. Step 6: Final answer
    x = 331.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.