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Finding the Fourth Proportional to 327.87, 450.32 and 272.52

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Solution

The fourth proportional to 327.87, 450.32 and 272.52 is: 374.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.87 : 450.32 = 272.52 : x
  2. Step 2: Convert to fraction form
    327.87/450.32 = 272.52/x
  3. Step 3: Cross multiply
    327.87x = 450.32 × 272.52
  4. Step 4: Simplify right side
    327.87x = 122,719.84
  5. Step 5: Solve for x
    x = 122,719.84/327.87
  6. Step 6: Final answer
    x = 374.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.