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Finding the Fourth Proportional to 327.26, 451.53 and 194.45

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Solution

The fourth proportional to 327.26, 451.53 and 194.45 is: 268.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.26 : 451.53 = 194.45 : x
  2. Step 2: Convert to fraction form
    327.26/451.53 = 194.45/x
  3. Step 3: Cross multiply
    327.26x = 451.53 × 194.45
  4. Step 4: Simplify right side
    327.26x = 87,797.75
  5. Step 5: Solve for x
    x = 87,797.75/327.26
  6. Step 6: Final answer
    x = 268.28

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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.