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Finding the Fourth Proportional to 234.38, 350.75 and 226.28

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Solution

The fourth proportional to 234.38, 350.75 and 226.28 is: 338.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.38 : 350.75 = 226.28 : x
  2. Step 2: Convert to fraction form
    234.38/350.75 = 226.28/x
  3. Step 3: Cross multiply
    234.38x = 350.75 × 226.28
  4. Step 4: Simplify right side
    234.38x = 79,366.52
  5. Step 5: Solve for x
    x = 79,366.52/234.38
  6. Step 6: Final answer
    x = 338.63

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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.