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Finding the Fourth Proportional to 326.91, 451.16 and 195.99

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Solution

The fourth proportional to 326.91, 451.16 and 195.99 is: 270.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.91 : 451.16 = 195.99 : x
  2. Step 2: Convert to fraction form
    326.91/451.16 = 195.99/x
  3. Step 3: Cross multiply
    326.91x = 451.16 × 195.99
  4. Step 4: Simplify right side
    326.91x = 88,421.87
  5. Step 5: Solve for x
    x = 88,421.87/326.91
  6. Step 6: Final answer
    x = 270.48

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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.