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Finding the Fourth Proportional to 398.36, 596.82 and 227

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Solution

The fourth proportional to 398.36, 596.82 and 227 is: 340.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.36 : 596.82 = 227 : x
  2. Step 2: Convert to fraction form
    398.36/596.82 = 227/x
  3. Step 3: Cross multiply
    398.36x = 596.82 × 227
  4. Step 4: Simplify right side
    398.36x = 135,478.14
  5. Step 5: Solve for x
    x = 135,478.14/398.36
  6. Step 6: Final answer
    x = 340.09

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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.