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Finding the Fourth Proportional to 82.43, 113.84 and 57.83

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Solution

The fourth proportional to 82.43, 113.84 and 57.83 is: 79.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.43 : 113.84 = 57.83 : x
  2. Step 2: Convert to fraction form
    82.43/113.84 = 57.83/x
  3. Step 3: Cross multiply
    82.43x = 113.84 × 57.83
  4. Step 4: Simplify right side
    82.43x = 6,582.73
  5. Step 5: Solve for x
    x = 6,582.73/82.43
  6. Step 6: Final answer
    x = 79.86

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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.