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Finding the Fourth Proportional to 273.67, 409.79 and 208.73

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Solution

The fourth proportional to 273.67, 409.79 and 208.73 is: 312.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.67 : 409.79 = 208.73 : x
  2. Step 2: Convert to fraction form
    273.67/409.79 = 208.73/x
  3. Step 3: Cross multiply
    273.67x = 409.79 × 208.73
  4. Step 4: Simplify right side
    273.67x = 85,537.01
  5. Step 5: Solve for x
    x = 85,537.01/273.67
  6. Step 6: Final answer
    x = 312.56

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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.