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Finding the Fourth Proportional to 224.97, 335.73 and 200.67

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Solution

The fourth proportional to 224.97, 335.73 and 200.67 is: 299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.97 : 335.73 = 200.67 : x
  2. Step 2: Convert to fraction form
    224.97/335.73 = 200.67/x
  3. Step 3: Cross multiply
    224.97x = 335.73 × 200.67
  4. Step 4: Simplify right side
    224.97x = 67,370.94
  5. Step 5: Solve for x
    x = 67,370.94/224.97
  6. Step 6: Final answer
    x = 299.47

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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.