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Finding the Fourth Proportional to 297.92, 446.78 and 167.78

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Solution

The fourth proportional to 297.92, 446.78 and 167.78 is: 251.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.92 : 446.78 = 167.78 : x
  2. Step 2: Convert to fraction form
    297.92/446.78 = 167.78/x
  3. Step 3: Cross multiply
    297.92x = 446.78 × 167.78
  4. Step 4: Simplify right side
    297.92x = 74,960.75
  5. Step 5: Solve for x
    x = 74,960.75/297.92
  6. Step 6: Final answer
    x = 251.61

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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.