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Finding the Fourth Proportional to 326.90, 451.04 and 194.15

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Solution

The fourth proportional to 326.90, 451.04 and 194.15 is: 267.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.90 : 451.04 = 194.15 : x
  2. Step 2: Convert to fraction form
    326.90/451.04 = 194.15/x
  3. Step 3: Cross multiply
    326.90x = 451.04 × 194.15
  4. Step 4: Simplify right side
    326.90x = 87,569.57
  5. Step 5: Solve for x
    x = 87,569.57/326.90
  6. Step 6: Final answer
    x = 267.88

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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.