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Finding the Fourth Proportional to 82.28, 113.56 and 49.09

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Solution

The fourth proportional to 82.28, 113.56 and 49.09 is: 67.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.28 : 113.56 = 49.09 : x
  2. Step 2: Convert to fraction form
    82.28/113.56 = 49.09/x
  3. Step 3: Cross multiply
    82.28x = 113.56 × 49.09
  4. Step 4: Simplify right side
    82.28x = 5,575.07
  5. Step 5: Solve for x
    x = 5,575.07/82.28
  6. Step 6: Final answer
    x = 67.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.