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Finding the Fourth Proportional to 226.28, 339.28 and 82.01

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Solution

The fourth proportional to 226.28, 339.28 and 82.01 is: 122.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.28 : 339.28 = 82.01 : x
  2. Step 2: Convert to fraction form
    226.28/339.28 = 82.01/x
  3. Step 3: Cross multiply
    226.28x = 339.28 × 82.01
  4. Step 4: Simplify right side
    226.28x = 27,822.45
  5. Step 5: Solve for x
    x = 27,822.45/226.28
  6. Step 6: Final answer
    x = 122.96

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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.