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Finding the Fourth Proportional to 84.68, 117.33 and 83.37

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Solution

The fourth proportional to 84.68, 117.33 and 83.37 is: 115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.68 : 117.33 = 83.37 : x
  2. Step 2: Convert to fraction form
    84.68/117.33 = 83.37/x
  3. Step 3: Cross multiply
    84.68x = 117.33 × 83.37
  4. Step 4: Simplify right side
    84.68x = 9,781.39
  5. Step 5: Solve for x
    x = 9,781.39/84.68
  6. Step 6: Final answer
    x = 115.51

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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.