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Finding the Fourth Proportional to 232.45, 346.78 and 226.17

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Solution

The fourth proportional to 232.45, 346.78 and 226.17 is: 337.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.45 : 346.78 = 226.17 : x
  2. Step 2: Convert to fraction form
    232.45/346.78 = 226.17/x
  3. Step 3: Cross multiply
    232.45x = 346.78 × 226.17
  4. Step 4: Simplify right side
    232.45x = 78,431.52
  5. Step 5: Solve for x
    x = 78,431.52/232.45
  6. Step 6: Final answer
    x = 337.42

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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.