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Finding the Fourth Proportional to 79.57, 108.96 and 79.30

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Solution

The fourth proportional to 79.57, 108.96 and 79.30 is: 108.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.57 : 108.96 = 79.30 : x
  2. Step 2: Convert to fraction form
    79.57/108.96 = 79.30/x
  3. Step 3: Cross multiply
    79.57x = 108.96 × 79.30
  4. Step 4: Simplify right side
    79.57x = 8,640.53
  5. Step 5: Solve for x
    x = 8,640.53/79.57
  6. Step 6: Final answer
    x = 108.59

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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.