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Finding the Fourth Proportional to 297.92, 411.20 and 179.92

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Solution

The fourth proportional to 297.92, 411.20 and 179.92 is: 248.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.92 : 411.20 = 179.92 : x
  2. Step 2: Convert to fraction form
    297.92/411.20 = 179.92/x
  3. Step 3: Cross multiply
    297.92x = 411.20 × 179.92
  4. Step 4: Simplify right side
    297.92x = 73,983.10
  5. Step 5: Solve for x
    x = 73,983.10/297.92
  6. Step 6: Final answer
    x = 248.33

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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.