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Finding the Fourth Proportional to 285.05, 391.66 and 226.73

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Solution

The fourth proportional to 285.05, 391.66 and 226.73 is: 311.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.05 : 391.66 = 226.73 : x
  2. Step 2: Convert to fraction form
    285.05/391.66 = 226.73/x
  3. Step 3: Cross multiply
    285.05x = 391.66 × 226.73
  4. Step 4: Simplify right side
    285.05x = 88,798.55
  5. Step 5: Solve for x
    x = 88,798.55/285.05
  6. Step 6: Final answer
    x = 311.52

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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.