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Finding the Fourth Proportional to 229.62, 342.38 and 226.78

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Solution

The fourth proportional to 229.62, 342.38 and 226.78 is: 338.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.62 : 342.38 = 226.78 : x
  2. Step 2: Convert to fraction form
    229.62/342.38 = 226.78/x
  3. Step 3: Cross multiply
    229.62x = 342.38 × 226.78
  4. Step 4: Simplify right side
    229.62x = 77,644.94
  5. Step 5: Solve for x
    x = 77,644.94/229.62
  6. Step 6: Final answer
    x = 338.15

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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.