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Finding the Fourth Proportional to 381.73, 573.37 and 227.96

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Solution

The fourth proportional to 381.73, 573.37 and 227.96 is: 342.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.73 : 573.37 = 227.96 : x
  2. Step 2: Convert to fraction form
    381.73/573.37 = 227.96/x
  3. Step 3: Cross multiply
    381.73x = 573.37 × 227.96
  4. Step 4: Simplify right side
    381.73x = 130,701.42
  5. Step 5: Solve for x
    x = 130,701.42/381.73
  6. Step 6: Final answer
    x = 342.39

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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.