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Finding the Fourth Proportional to 265.38, 396.20 and 226.87

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Solution

The fourth proportional to 265.38, 396.20 and 226.87 is: 338.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.38 : 396.20 = 226.87 : x
  2. Step 2: Convert to fraction form
    265.38/396.20 = 226.87/x
  3. Step 3: Cross multiply
    265.38x = 396.20 × 226.87
  4. Step 4: Simplify right side
    265.38x = 89,885.04
  5. Step 5: Solve for x
    x = 89,885.04/265.38
  6. Step 6: Final answer
    x = 338.71

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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.