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Finding the Fourth Proportional to 371.20, 512.24 and 260.72

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Solution

The fourth proportional to 371.20, 512.24 and 260.72 is: 359.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.20 : 512.24 = 260.72 : x
  2. Step 2: Convert to fraction form
    371.20/512.24 = 260.72/x
  3. Step 3: Cross multiply
    371.20x = 512.24 × 260.72
  4. Step 4: Simplify right side
    371.20x = 133,551.21
  5. Step 5: Solve for x
    x = 133,551.21/371.20
  6. Step 6: Final answer
    x = 359.78

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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.