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Finding the Fourth Proportional to 84.19, 116.31 and 82.90

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Solution

The fourth proportional to 84.19, 116.31 and 82.90 is: 114.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.19 : 116.31 = 82.90 : x
  2. Step 2: Convert to fraction form
    84.19/116.31 = 82.90/x
  3. Step 3: Cross multiply
    84.19x = 116.31 × 82.90
  4. Step 4: Simplify right side
    84.19x = 9,642.10
  5. Step 5: Solve for x
    x = 9,642.10/84.19
  6. Step 6: Final answer
    x = 114.53

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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.