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Finding the Fourth Proportional to 325.73, 449.43 and 194.78

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Solution

The fourth proportional to 325.73, 449.43 and 194.78 is: 268.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.73 : 449.43 = 194.78 : x
  2. Step 2: Convert to fraction form
    325.73/449.43 = 194.78/x
  3. Step 3: Cross multiply
    325.73x = 449.43 × 194.78
  4. Step 4: Simplify right side
    325.73x = 87,539.98
  5. Step 5: Solve for x
    x = 87,539.98/325.73
  6. Step 6: Final answer
    x = 268.75

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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.