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Finding the Fourth Proportional to 273.35, 409.22 and 270.52

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Solution

The fourth proportional to 273.35, 409.22 and 270.52 is: 404.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.35 : 409.22 = 270.52 : x
  2. Step 2: Convert to fraction form
    273.35/409.22 = 270.52/x
  3. Step 3: Cross multiply
    273.35x = 409.22 × 270.52
  4. Step 4: Simplify right side
    273.35x = 110,698.80
  5. Step 5: Solve for x
    x = 110,698.80/273.35
  6. Step 6: Final answer
    x = 404.97

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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.