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Finding the Fourth Proportional to 285.11, 391.74 and 226.79

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Solution

The fourth proportional to 285.11, 391.74 and 226.79 is: 311.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.11 : 391.74 = 226.79 : x
  2. Step 2: Convert to fraction form
    285.11/391.74 = 226.79/x
  3. Step 3: Cross multiply
    285.11x = 391.74 × 226.79
  4. Step 4: Simplify right side
    285.11x = 88,842.71
  5. Step 5: Solve for x
    x = 88,842.71/285.11
  6. Step 6: Final answer
    x = 311.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.