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Finding the Fourth Proportional to 260.42, 391.94 and 195.77

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Solution

The fourth proportional to 260.42, 391.94 and 195.77 is: 294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.42 : 391.94 = 195.77 : x
  2. Step 2: Convert to fraction form
    260.42/391.94 = 195.77/x
  3. Step 3: Cross multiply
    260.42x = 391.94 × 195.77
  4. Step 4: Simplify right side
    260.42x = 76,730.09
  5. Step 5: Solve for x
    x = 76,730.09/260.42
  6. Step 6: Final answer
    x = 294.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.