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Finding the Fourth Proportional to 371.82, 512.97 and 239.02

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Solution

The fourth proportional to 371.82, 512.97 and 239.02 is: 329.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.82 : 512.97 = 239.02 : x
  2. Step 2: Convert to fraction form
    371.82/512.97 = 239.02/x
  3. Step 3: Cross multiply
    371.82x = 512.97 × 239.02
  4. Step 4: Simplify right side
    371.82x = 122,610.46
  5. Step 5: Solve for x
    x = 122,610.46/371.82
  6. Step 6: Final answer
    x = 329.76

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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.