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Finding the Fourth Proportional to 84.66, 117.37 and 81.69

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Solution

The fourth proportional to 84.66, 117.37 and 81.69 is: 113.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.66 : 117.37 = 81.69 : x
  2. Step 2: Convert to fraction form
    84.66/117.37 = 81.69/x
  3. Step 3: Cross multiply
    84.66x = 117.37 × 81.69
  4. Step 4: Simplify right side
    84.66x = 9,587.96
  5. Step 5: Solve for x
    x = 9,587.96/84.66
  6. Step 6: Final answer
    x = 113.25

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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.