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Finding the Fourth Proportional to 84.06, 116.81 and 83.22

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Solution

The fourth proportional to 84.06, 116.81 and 83.22 is: 115.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.06 : 116.81 = 83.22 : x
  2. Step 2: Convert to fraction form
    84.06/116.81 = 83.22/x
  3. Step 3: Cross multiply
    84.06x = 116.81 × 83.22
  4. Step 4: Simplify right side
    84.06x = 9,720.93
  5. Step 5: Solve for x
    x = 9,720.93/84.06
  6. Step 6: Final answer
    x = 115.64

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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.