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Finding the Fourth Proportional to 247.91, 372.06 and 138.24

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Solution

The fourth proportional to 247.91, 372.06 and 138.24 is: 207.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.91 : 372.06 = 138.24 : x
  2. Step 2: Convert to fraction form
    247.91/372.06 = 138.24/x
  3. Step 3: Cross multiply
    247.91x = 372.06 × 138.24
  4. Step 4: Simplify right side
    247.91x = 51,433.57
  5. Step 5: Solve for x
    x = 51,433.57/247.91
  6. Step 6: Final answer
    x = 207.47

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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.