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Finding the Fourth Proportional to 326.78, 450.90 and 195.86

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Solution

The fourth proportional to 326.78, 450.90 and 195.86 is: 270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.78 : 450.90 = 195.86 : x
  2. Step 2: Convert to fraction form
    326.78/450.90 = 195.86/x
  3. Step 3: Cross multiply
    326.78x = 450.90 × 195.86
  4. Step 4: Simplify right side
    326.78x = 88,313.27
  5. Step 5: Solve for x
    x = 88,313.27/326.78
  6. Step 6: Final answer
    x = 270.25

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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.