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Finding the Fourth Proportional to 236.82, 327.24 and 209.79

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Solution

The fourth proportional to 236.82, 327.24 and 209.79 is: 289.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.82 : 327.24 = 209.79 : x
  2. Step 2: Convert to fraction form
    236.82/327.24 = 209.79/x
  3. Step 3: Cross multiply
    236.82x = 327.24 × 209.79
  4. Step 4: Simplify right side
    236.82x = 68,651.68
  5. Step 5: Solve for x
    x = 68,651.68/236.82
  6. Step 6: Final answer
    x = 289.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.