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Finding the Fourth Proportional to 327.31, 451.69 and 179.95

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Solution

The fourth proportional to 327.31, 451.69 and 179.95 is: 248.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.31 : 451.69 = 179.95 : x
  2. Step 2: Convert to fraction form
    327.31/451.69 = 179.95/x
  3. Step 3: Cross multiply
    327.31x = 451.69 × 179.95
  4. Step 4: Simplify right side
    327.31x = 81,281.62
  5. Step 5: Solve for x
    x = 81,281.62/327.31
  6. Step 6: Final answer
    x = 248.34

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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.