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Finding the Fourth Proportional to 260.57, 391.18 and 222.29

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Solution

The fourth proportional to 260.57, 391.18 and 222.29 is: 333.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.57 : 391.18 = 222.29 : x
  2. Step 2: Convert to fraction form
    260.57/391.18 = 222.29/x
  3. Step 3: Cross multiply
    260.57x = 391.18 × 222.29
  4. Step 4: Simplify right side
    260.57x = 86,956.97
  5. Step 5: Solve for x
    x = 86,956.97/260.57
  6. Step 6: Final answer
    x = 333.72

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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.