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Finding the Fourth Proportional to 82.87, 114.94 and 76.04

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Solution

The fourth proportional to 82.87, 114.94 and 76.04 is: 105.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.87 : 114.94 = 76.04 : x
  2. Step 2: Convert to fraction form
    82.87/114.94 = 76.04/x
  3. Step 3: Cross multiply
    82.87x = 114.94 × 76.04
  4. Step 4: Simplify right side
    82.87x = 8,740.04
  5. Step 5: Solve for x
    x = 8,740.04/82.87
  6. Step 6: Final answer
    x = 105.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.