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Finding the Fourth Proportional to 327.08, 450.90 and 249.32

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Solution

The fourth proportional to 327.08, 450.90 and 249.32 is: 343.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.08 : 450.90 = 249.32 : x
  2. Step 2: Convert to fraction form
    327.08/450.90 = 249.32/x
  3. Step 3: Cross multiply
    327.08x = 450.90 × 249.32
  4. Step 4: Simplify right side
    327.08x = 112,418.39
  5. Step 5: Solve for x
    x = 112,418.39/327.08
  6. Step 6: Final answer
    x = 343.70

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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.