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Finding the Fourth Proportional to 84.52, 117.26 and 83.72

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Solution

The fourth proportional to 84.52, 117.26 and 83.72 is: 116.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.52 : 117.26 = 83.72 : x
  2. Step 2: Convert to fraction form
    84.52/117.26 = 83.72/x
  3. Step 3: Cross multiply
    84.52x = 117.26 × 83.72
  4. Step 4: Simplify right side
    84.52x = 9,817.01
  5. Step 5: Solve for x
    x = 9,817.01/84.52
  6. Step 6: Final answer
    x = 116.15

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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.