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Finding the Fourth Proportional to 82.44, 114.36 and 80.46

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Solution

The fourth proportional to 82.44, 114.36 and 80.46 is: 111.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.44 : 114.36 = 80.46 : x
  2. Step 2: Convert to fraction form
    82.44/114.36 = 80.46/x
  3. Step 3: Cross multiply
    82.44x = 114.36 × 80.46
  4. Step 4: Simplify right side
    82.44x = 9,201.41
  5. Step 5: Solve for x
    x = 9,201.41/82.44
  6. Step 6: Final answer
    x = 111.61

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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.