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Finding the Fourth Proportional to 247.82, 371.49 and 85.38

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Solution

The fourth proportional to 247.82, 371.49 and 85.38 is: 127.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.82 : 371.49 = 85.38 : x
  2. Step 2: Convert to fraction form
    247.82/371.49 = 85.38/x
  3. Step 3: Cross multiply
    247.82x = 371.49 × 85.38
  4. Step 4: Simplify right side
    247.82x = 31,717.82
  5. Step 5: Solve for x
    x = 31,717.82/247.82
  6. Step 6: Final answer
    x = 127.99

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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.