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Finding the Fourth Proportional to 273.57, 409.53 and 165.57

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Solution

The fourth proportional to 273.57, 409.53 and 165.57 is: 247.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.57 : 409.53 = 165.57 : x
  2. Step 2: Convert to fraction form
    273.57/409.53 = 165.57/x
  3. Step 3: Cross multiply
    273.57x = 409.53 × 165.57
  4. Step 4: Simplify right side
    273.57x = 67,805.88
  5. Step 5: Solve for x
    x = 67,805.88/273.57
  6. Step 6: Final answer
    x = 247.86

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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.