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Finding the Fourth Proportional to 371.38, 512.82 and 261.10

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Solution

The fourth proportional to 371.38, 512.82 and 261.10 is: 360.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.38 : 512.82 = 261.10 : x
  2. Step 2: Convert to fraction form
    371.38/512.82 = 261.10/x
  3. Step 3: Cross multiply
    371.38x = 512.82 × 261.10
  4. Step 4: Simplify right side
    371.38x = 133,897.30
  5. Step 5: Solve for x
    x = 133,897.30/371.38
  6. Step 6: Final answer
    x = 360.54

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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.