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Finding the Fourth Proportional to 243.92, 337.20 and 216.56

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Solution

The fourth proportional to 243.92, 337.20 and 216.56 is: 299.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.92 : 337.20 = 216.56 : x
  2. Step 2: Convert to fraction form
    243.92/337.20 = 216.56/x
  3. Step 3: Cross multiply
    243.92x = 337.20 × 216.56
  4. Step 4: Simplify right side
    243.92x = 73,024.03
  5. Step 5: Solve for x
    x = 73,024.03/243.92
  6. Step 6: Final answer
    x = 299.38

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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.