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Finding the Fourth Proportional to 326.93, 450.97 and 194.11

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Solution

The fourth proportional to 326.93, 450.97 and 194.11 is: 267.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.93 : 450.97 = 194.11 : x
  2. Step 2: Convert to fraction form
    326.93/450.97 = 194.11/x
  3. Step 3: Cross multiply
    326.93x = 450.97 × 194.11
  4. Step 4: Simplify right side
    326.93x = 87,535.53
  5. Step 5: Solve for x
    x = 87,535.53/326.93
  6. Step 6: Final answer
    x = 267.75

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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.