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Finding the Fourth Proportional to 260.27, 359.79 and 198.90

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Solution

The fourth proportional to 260.27, 359.79 and 198.90 is: 274.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.27 : 359.79 = 198.90 : x
  2. Step 2: Convert to fraction form
    260.27/359.79 = 198.90/x
  3. Step 3: Cross multiply
    260.27x = 359.79 × 198.90
  4. Step 4: Simplify right side
    260.27x = 71,562.23
  5. Step 5: Solve for x
    x = 71,562.23/260.27
  6. Step 6: Final answer
    x = 274.96

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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.