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Finding the Fourth Proportional to 226.33, 339.49 and 82.05

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Solution

The fourth proportional to 226.33, 339.49 and 82.05 is: 123.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.33 : 339.49 = 82.05 : x
  2. Step 2: Convert to fraction form
    226.33/339.49 = 82.05/x
  3. Step 3: Cross multiply
    226.33x = 339.49 × 82.05
  4. Step 4: Simplify right side
    226.33x = 27,853.98
  5. Step 5: Solve for x
    x = 27,853.98/226.33
  6. Step 6: Final answer
    x = 123.07

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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.