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Finding the Fourth Proportional to 273.57, 408.50 and 224.91

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Solution

The fourth proportional to 273.57, 408.50 and 224.91 is: 335.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.57 : 408.50 = 224.91 : x
  2. Step 2: Convert to fraction form
    273.57/408.50 = 224.91/x
  3. Step 3: Cross multiply
    273.57x = 408.50 × 224.91
  4. Step 4: Simplify right side
    273.57x = 91,875.74
  5. Step 5: Solve for x
    x = 91,875.74/273.57
  6. Step 6: Final answer
    x = 335.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.