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Finding the Fourth Proportional to 79.04, 108.38 and 71.24

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Solution

The fourth proportional to 79.04, 108.38 and 71.24 is: 97.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.04 : 108.38 = 71.24 : x
  2. Step 2: Convert to fraction form
    79.04/108.38 = 71.24/x
  3. Step 3: Cross multiply
    79.04x = 108.38 × 71.24
  4. Step 4: Simplify right side
    79.04x = 7,721.17
  5. Step 5: Solve for x
    x = 7,721.17/79.04
  6. Step 6: Final answer
    x = 97.68

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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.