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Finding the Fourth Proportional to 79.91, 110.46 and 79.23

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Solution

The fourth proportional to 79.91, 110.46 and 79.23 is: 109.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.91 : 110.46 = 79.23 : x
  2. Step 2: Convert to fraction form
    79.91/110.46 = 79.23/x
  3. Step 3: Cross multiply
    79.91x = 110.46 × 79.23
  4. Step 4: Simplify right side
    79.91x = 8,751.75
  5. Step 5: Solve for x
    x = 8,751.75/79.91
  6. Step 6: Final answer
    x = 109.53

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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.