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Finding the Fourth Proportional to 327.04, 451.17 and 202.75

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Solution

The fourth proportional to 327.04, 451.17 and 202.75 is: 279.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.04 : 451.17 = 202.75 : x
  2. Step 2: Convert to fraction form
    327.04/451.17 = 202.75/x
  3. Step 3: Cross multiply
    327.04x = 451.17 × 202.75
  4. Step 4: Simplify right side
    327.04x = 91,476.13
  5. Step 5: Solve for x
    x = 91,476.13/327.04
  6. Step 6: Final answer
    x = 279.71

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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.