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Finding the Fourth Proportional to 83.57, 115.12 and 79.45

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Solution

The fourth proportional to 83.57, 115.12 and 79.45 is: 109.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.57 : 115.12 = 79.45 : x
  2. Step 2: Convert to fraction form
    83.57/115.12 = 79.45/x
  3. Step 3: Cross multiply
    83.57x = 115.12 × 79.45
  4. Step 4: Simplify right side
    83.57x = 9,146.10
  5. Step 5: Solve for x
    x = 9,146.10/83.57
  6. Step 6: Final answer
    x = 109.45

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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.