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Finding the Fourth Proportional to 327.29, 451.67 and 201.26

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Solution

The fourth proportional to 327.29, 451.67 and 201.26 is: 277.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.29 : 451.67 = 201.26 : x
  2. Step 2: Convert to fraction form
    327.29/451.67 = 201.26/x
  3. Step 3: Cross multiply
    327.29x = 451.67 × 201.26
  4. Step 4: Simplify right side
    327.29x = 90,903.23
  5. Step 5: Solve for x
    x = 90,903.23/327.29
  6. Step 6: Final answer
    x = 277.75

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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.