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Finding the Fourth Proportional to 226.90, 338.32 and 226.59

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Solution

The fourth proportional to 226.90, 338.32 and 226.59 is: 337.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.90 : 338.32 = 226.59 : x
  2. Step 2: Convert to fraction form
    226.90/338.32 = 226.59/x
  3. Step 3: Cross multiply
    226.90x = 338.32 × 226.59
  4. Step 4: Simplify right side
    226.90x = 76,659.93
  5. Step 5: Solve for x
    x = 76,659.93/226.90
  6. Step 6: Final answer
    x = 337.86

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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.