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Finding the Fourth Proportional to 227.90, 340.17 and 200.56

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Solution

The fourth proportional to 227.90, 340.17 and 200.56 is: 299.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.90 : 340.17 = 200.56 : x
  2. Step 2: Convert to fraction form
    227.90/340.17 = 200.56/x
  3. Step 3: Cross multiply
    227.90x = 340.17 × 200.56
  4. Step 4: Simplify right side
    227.90x = 68,224.50
  5. Step 5: Solve for x
    x = 68,224.50/227.90
  6. Step 6: Final answer
    x = 299.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.