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Finding the Fourth Proportional to 227.94, 342.01 and 112.49

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Solution

The fourth proportional to 227.94, 342.01 and 112.49 is: 168.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.94 : 342.01 = 112.49 : x
  2. Step 2: Convert to fraction form
    227.94/342.01 = 112.49/x
  3. Step 3: Cross multiply
    227.94x = 342.01 × 112.49
  4. Step 4: Simplify right side
    227.94x = 38,472.70
  5. Step 5: Solve for x
    x = 38,472.70/227.94
  6. Step 6: Final answer
    x = 168.78

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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.