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Finding the Fourth Proportional to 226.26, 339.19 and 134.73

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Solution

The fourth proportional to 226.26, 339.19 and 134.73 is: 201.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.26 : 339.19 = 134.73 : x
  2. Step 2: Convert to fraction form
    226.26/339.19 = 134.73/x
  3. Step 3: Cross multiply
    226.26x = 339.19 × 134.73
  4. Step 4: Simplify right side
    226.26x = 45,698.73
  5. Step 5: Solve for x
    x = 45,698.73/226.26
  6. Step 6: Final answer
    x = 201.97

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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.