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Finding the Fourth Proportional to 225.85, 338.78 and 134.61

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Solution

The fourth proportional to 225.85, 338.78 and 134.61 is: 201.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.85 : 338.78 = 134.61 : x
  2. Step 2: Convert to fraction form
    225.85/338.78 = 134.61/x
  3. Step 3: Cross multiply
    225.85x = 338.78 × 134.61
  4. Step 4: Simplify right side
    225.85x = 45,603.18
  5. Step 5: Solve for x
    x = 45,603.18/225.85
  6. Step 6: Final answer
    x = 201.92

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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.