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Finding the Fourth Proportional to 82.18, 114.21 and 81.16

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Solution

The fourth proportional to 82.18, 114.21 and 81.16 is: 112.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.18 : 114.21 = 81.16 : x
  2. Step 2: Convert to fraction form
    82.18/114.21 = 81.16/x
  3. Step 3: Cross multiply
    82.18x = 114.21 × 81.16
  4. Step 4: Simplify right side
    82.18x = 9,268.88
  5. Step 5: Solve for x
    x = 9,268.88/82.18
  6. Step 6: Final answer
    x = 112.79

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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.