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Finding the Fourth Proportional to 79.66, 110.67 and 78.70

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Solution

The fourth proportional to 79.66, 110.67 and 78.70 is: 109.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.66 : 110.67 = 78.70 : x
  2. Step 2: Convert to fraction form
    79.66/110.67 = 78.70/x
  3. Step 3: Cross multiply
    79.66x = 110.67 × 78.70
  4. Step 4: Simplify right side
    79.66x = 8,708.78
  5. Step 5: Solve for x
    x = 8,708.78/79.66
  6. Step 6: Final answer
    x = 109.33

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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.