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Finding the Fourth Proportional to 326.02, 449.85 and 194.98

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Solution

The fourth proportional to 326.02, 449.85 and 194.98 is: 269.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.02 : 449.85 = 194.98 : x
  2. Step 2: Convert to fraction form
    326.02/449.85 = 194.98/x
  3. Step 3: Cross multiply
    326.02x = 449.85 × 194.98
  4. Step 4: Simplify right side
    326.02x = 87,711.75
  5. Step 5: Solve for x
    x = 87,711.75/326.02
  6. Step 6: Final answer
    x = 269.04

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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.