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Finding the Fourth Proportional to 243.92, 363.78 and 227.52

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Solution

The fourth proportional to 243.92, 363.78 and 227.52 is: 339.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.92 : 363.78 = 227.52 : x
  2. Step 2: Convert to fraction form
    243.92/363.78 = 227.52/x
  3. Step 3: Cross multiply
    243.92x = 363.78 × 227.52
  4. Step 4: Simplify right side
    243.92x = 82,767.23
  5. Step 5: Solve for x
    x = 82,767.23/243.92
  6. Step 6: Final answer
    x = 339.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.