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Finding the Fourth Proportional to 327.23, 451.20 and 202.69

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Solution

The fourth proportional to 327.23, 451.20 and 202.69 is: 279.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.23 : 451.20 = 202.69 : x
  2. Step 2: Convert to fraction form
    327.23/451.20 = 202.69/x
  3. Step 3: Cross multiply
    327.23x = 451.20 × 202.69
  4. Step 4: Simplify right side
    327.23x = 91,453.73
  5. Step 5: Solve for x
    x = 91,453.73/327.23
  6. Step 6: Final answer
    x = 279.48

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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.