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Finding the Fourth Proportional to 82.27, 113.54 and 49.08

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Solution

The fourth proportional to 82.27, 113.54 and 49.08 is: 67.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.27 : 113.54 = 49.08 : x
  2. Step 2: Convert to fraction form
    82.27/113.54 = 49.08/x
  3. Step 3: Cross multiply
    82.27x = 113.54 × 49.08
  4. Step 4: Simplify right side
    82.27x = 5,572.08
  5. Step 5: Solve for x
    x = 5,572.08/82.27
  6. Step 6: Final answer
    x = 67.73

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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.