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Finding the Fourth Proportional to 327.67, 452.20 and 180.33

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Solution

The fourth proportional to 327.67, 452.20 and 180.33 is: 248.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.67 : 452.20 = 180.33 : x
  2. Step 2: Convert to fraction form
    327.67/452.20 = 180.33/x
  3. Step 3: Cross multiply
    327.67x = 452.20 × 180.33
  4. Step 4: Simplify right side
    327.67x = 81,547.15
  5. Step 5: Solve for x
    x = 81,547.15/327.67
  6. Step 6: Final answer
    x = 248.87

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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.