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Finding the Fourth Proportional to 83.64, 114.68 and 82.02

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Solution

The fourth proportional to 83.64, 114.68 and 82.02 is: 112.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.64 : 114.68 = 82.02 : x
  2. Step 2: Convert to fraction form
    83.64/114.68 = 82.02/x
  3. Step 3: Cross multiply
    83.64x = 114.68 × 82.02
  4. Step 4: Simplify right side
    83.64x = 9,405.64
  5. Step 5: Solve for x
    x = 9,405.64/83.64
  6. Step 6: Final answer
    x = 112.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.