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Finding the Fourth Proportional to 84.93, 116.50 and 80.52

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Solution

The fourth proportional to 84.93, 116.50 and 80.52 is: 110.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.93 : 116.50 = 80.52 : x
  2. Step 2: Convert to fraction form
    84.93/116.50 = 80.52/x
  3. Step 3: Cross multiply
    84.93x = 116.50 × 80.52
  4. Step 4: Simplify right side
    84.93x = 9,380.58
  5. Step 5: Solve for x
    x = 9,380.58/84.93
  6. Step 6: Final answer
    x = 110.45

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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.