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Finding the Fourth Proportional to 371.16, 557.14 and 247.80

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Solution

The fourth proportional to 371.16, 557.14 and 247.80 is: 371.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.16 : 557.14 = 247.80 : x
  2. Step 2: Convert to fraction form
    371.16/557.14 = 247.80/x
  3. Step 3: Cross multiply
    371.16x = 557.14 × 247.80
  4. Step 4: Simplify right side
    371.16x = 138,059.29
  5. Step 5: Solve for x
    x = 138,059.29/371.16
  6. Step 6: Final answer
    x = 371.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.