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Finding the Fourth Proportional to 273.20, 408.96 and 165.20

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Solution

The fourth proportional to 273.20, 408.96 and 165.20 is: 247.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.20 : 408.96 = 165.20 : x
  2. Step 2: Convert to fraction form
    273.20/408.96 = 165.20/x
  3. Step 3: Cross multiply
    273.20x = 408.96 × 165.20
  4. Step 4: Simplify right side
    273.20x = 67,558.15
  5. Step 5: Solve for x
    x = 67,558.15/273.20
  6. Step 6: Final answer
    x = 247.29

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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.