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Finding the Fourth Proportional to 260.93, 391.43 and 106.94

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Solution

The fourth proportional to 260.93, 391.43 and 106.94 is: 160.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.93 : 391.43 = 106.94 : x
  2. Step 2: Convert to fraction form
    260.93/391.43 = 106.94/x
  3. Step 3: Cross multiply
    260.93x = 391.43 × 106.94
  4. Step 4: Simplify right side
    260.93x = 41,857.83
  5. Step 5: Solve for x
    x = 41,857.83/260.93
  6. Step 6: Final answer
    x = 160.42

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