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Finding the Fourth Proportional to 327.08, 450.78 and 297.38

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Solution

The fourth proportional to 327.08, 450.78 and 297.38 is: 409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.08 : 450.78 = 297.38 : x
  2. Step 2: Convert to fraction form
    327.08/450.78 = 297.38/x
  3. Step 3: Cross multiply
    327.08x = 450.78 × 297.38
  4. Step 4: Simplify right side
    327.08x = 134,052.96
  5. Step 5: Solve for x
    x = 134,052.96/327.08
  6. Step 6: Final answer
    x = 409.85

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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.