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Finding the Fourth Proportional to 247.83, 371.41 and 93.61

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Solution

The fourth proportional to 247.83, 371.41 and 93.61 is: 140.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.83 : 371.41 = 93.61 : x
  2. Step 2: Convert to fraction form
    247.83/371.41 = 93.61/x
  3. Step 3: Cross multiply
    247.83x = 371.41 × 93.61
  4. Step 4: Simplify right side
    247.83x = 34,767.69
  5. Step 5: Solve for x
    x = 34,767.69/247.83
  6. Step 6: Final answer
    x = 140.29

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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.