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Finding the Fourth Proportional to 260.54, 391.05 and 196.54

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Solution

The fourth proportional to 260.54, 391.05 and 196.54 is: 294.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.54 : 391.05 = 196.54 : x
  2. Step 2: Convert to fraction form
    260.54/391.05 = 196.54/x
  3. Step 3: Cross multiply
    260.54x = 391.05 × 196.54
  4. Step 4: Simplify right side
    260.54x = 76,856.97
  5. Step 5: Solve for x
    x = 76,856.97/260.54
  6. Step 6: Final answer
    x = 294.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.