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Finding the Fourth Proportional to 82.39, 113.66 and 76.83

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Solution

The fourth proportional to 82.39, 113.66 and 76.83 is: 105.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.39 : 113.66 = 76.83 : x
  2. Step 2: Convert to fraction form
    82.39/113.66 = 76.83/x
  3. Step 3: Cross multiply
    82.39x = 113.66 × 76.83
  4. Step 4: Simplify right side
    82.39x = 8,732.50
  5. Step 5: Solve for x
    x = 8,732.50/82.39
  6. Step 6: Final answer
    x = 105.99

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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.