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Finding the Fourth Proportional to 273.03, 408.89 and 149.33

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Solution

The fourth proportional to 273.03, 408.89 and 149.33 is: 223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.03 : 408.89 = 149.33 : x
  2. Step 2: Convert to fraction form
    273.03/408.89 = 149.33/x
  3. Step 3: Cross multiply
    273.03x = 408.89 × 149.33
  4. Step 4: Simplify right side
    273.03x = 61,060.73
  5. Step 5: Solve for x
    x = 61,060.73/273.03
  6. Step 6: Final answer
    x = 223.64

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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.