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Finding the Fourth Proportional to 82.87, 114.92 and 78.22

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Solution

The fourth proportional to 82.87, 114.92 and 78.22 is: 108.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.87 : 114.92 = 78.22 : x
  2. Step 2: Convert to fraction form
    82.87/114.92 = 78.22/x
  3. Step 3: Cross multiply
    82.87x = 114.92 × 78.22
  4. Step 4: Simplify right side
    82.87x = 8,988.44
  5. Step 5: Solve for x
    x = 8,988.44/82.87
  6. Step 6: Final answer
    x = 108.46

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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.