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Finding the Fourth Proportional to 83.58, 114.72 and 76.29

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Solution

The fourth proportional to 83.58, 114.72 and 76.29 is: 104.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.58 : 114.72 = 76.29 : x
  2. Step 2: Convert to fraction form
    83.58/114.72 = 76.29/x
  3. Step 3: Cross multiply
    83.58x = 114.72 × 76.29
  4. Step 4: Simplify right side
    83.58x = 8,751.99
  5. Step 5: Solve for x
    x = 8,751.99/83.58
  6. Step 6: Final answer
    x = 104.71

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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.