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Finding the Fourth Proportional to 252.92, 379.44 and 79.58

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Solution

The fourth proportional to 252.92, 379.44 and 79.58 is: 119.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.92 : 379.44 = 79.58 : x
  2. Step 2: Convert to fraction form
    252.92/379.44 = 79.58/x
  3. Step 3: Cross multiply
    252.92x = 379.44 × 79.58
  4. Step 4: Simplify right side
    252.92x = 30,195.84
  5. Step 5: Solve for x
    x = 30,195.84/252.92
  6. Step 6: Final answer
    x = 119.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.