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Finding the Fourth Proportional to 325.87, 449.78 and 194.92

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Solution

The fourth proportional to 325.87, 449.78 and 194.92 is: 269.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.87 : 449.78 = 194.92 : x
  2. Step 2: Convert to fraction form
    325.87/449.78 = 194.92/x
  3. Step 3: Cross multiply
    325.87x = 449.78 × 194.92
  4. Step 4: Simplify right side
    325.87x = 87,669.02
  5. Step 5: Solve for x
    x = 87,669.02/325.87
  6. Step 6: Final answer
    x = 269.03

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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.