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Finding the Fourth Proportional to 83.19, 114.79 and 79.91

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Solution

The fourth proportional to 83.19, 114.79 and 79.91 is: 110.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.19 : 114.79 = 79.91 : x
  2. Step 2: Convert to fraction form
    83.19/114.79 = 79.91/x
  3. Step 3: Cross multiply
    83.19x = 114.79 × 79.91
  4. Step 4: Simplify right side
    83.19x = 9,172.54
  5. Step 5: Solve for x
    x = 9,172.54/83.19
  6. Step 6: Final answer
    x = 110.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.