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Finding the Fourth Proportional to 371.48, 512.38 and 247.10

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Solution

The fourth proportional to 371.48, 512.38 and 247.10 is: 340.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.48 : 512.38 = 247.10 : x
  2. Step 2: Convert to fraction form
    371.48/512.38 = 247.10/x
  3. Step 3: Cross multiply
    371.48x = 512.38 × 247.10
  4. Step 4: Simplify right side
    371.48x = 126,609.10
  5. Step 5: Solve for x
    x = 126,609.10/371.48
  6. Step 6: Final answer
    x = 340.82

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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.