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Finding the Fourth Proportional to 227.92, 315.88 and 213.88

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Solution

The fourth proportional to 227.92, 315.88 and 213.88 is: 296.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.92 : 315.88 = 213.88 : x
  2. Step 2: Convert to fraction form
    227.92/315.88 = 213.88/x
  3. Step 3: Cross multiply
    227.92x = 315.88 × 213.88
  4. Step 4: Simplify right side
    227.92x = 67,560.41
  5. Step 5: Solve for x
    x = 67,560.41/227.92
  6. Step 6: Final answer
    x = 296.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.