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Finding the Fourth Proportional to 272.82, 408.87 and 203.79

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Solution

The fourth proportional to 272.82, 408.87 and 203.79 is: 305.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.82 : 408.87 = 203.79 : x
  2. Step 2: Convert to fraction form
    272.82/408.87 = 203.79/x
  3. Step 3: Cross multiply
    272.82x = 408.87 × 203.79
  4. Step 4: Simplify right side
    272.82x = 83,323.62
  5. Step 5: Solve for x
    x = 83,323.62/272.82
  6. Step 6: Final answer
    x = 305.42

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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.