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Finding the Fourth Proportional to 224.07, 334.49 and 196.73

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Solution

The fourth proportional to 224.07, 334.49 and 196.73 is: 293.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.07 : 334.49 = 196.73 : x
  2. Step 2: Convert to fraction form
    224.07/334.49 = 196.73/x
  3. Step 3: Cross multiply
    224.07x = 334.49 × 196.73
  4. Step 4: Simplify right side
    224.07x = 65,804.70
  5. Step 5: Solve for x
    x = 65,804.70/224.07
  6. Step 6: Final answer
    x = 293.68

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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.