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Finding the Fourth Proportional to 247.78, 372.30 and 240.22

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Solution

The fourth proportional to 247.78, 372.30 and 240.22 is: 360.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.78 : 372.30 = 240.22 : x
  2. Step 2: Convert to fraction form
    247.78/372.30 = 240.22/x
  3. Step 3: Cross multiply
    247.78x = 372.30 × 240.22
  4. Step 4: Simplify right side
    247.78x = 89,433.91
  5. Step 5: Solve for x
    x = 89,433.91/247.78
  6. Step 6: Final answer
    x = 360.94

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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.