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Finding the Fourth Proportional to 226.70, 340.19 and 80.49

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Solution

The fourth proportional to 226.70, 340.19 and 80.49 is: 120.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.70 : 340.19 = 80.49 : x
  2. Step 2: Convert to fraction form
    226.70/340.19 = 80.49/x
  3. Step 3: Cross multiply
    226.70x = 340.19 × 80.49
  4. Step 4: Simplify right side
    226.70x = 27,382.09
  5. Step 5: Solve for x
    x = 27,382.09/226.70
  6. Step 6: Final answer
    x = 120.79

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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.