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Finding the Fourth Proportional to 327.76, 452.29 and 180.37

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Solution

The fourth proportional to 327.76, 452.29 and 180.37 is: 248.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.76 : 452.29 = 180.37 : x
  2. Step 2: Convert to fraction form
    327.76/452.29 = 180.37/x
  3. Step 3: Cross multiply
    327.76x = 452.29 × 180.37
  4. Step 4: Simplify right side
    327.76x = 81,579.24
  5. Step 5: Solve for x
    x = 81,579.24/327.76
  6. Step 6: Final answer
    x = 248.90

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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.