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Finding the Fourth Proportional to 344.33, 475.18 and 196.96

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Solution

The fourth proportional to 344.33, 475.18 and 196.96 is: 271.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.33 : 475.18 = 196.96 : x
  2. Step 2: Convert to fraction form
    344.33/475.18 = 196.96/x
  3. Step 3: Cross multiply
    344.33x = 475.18 × 196.96
  4. Step 4: Simplify right side
    344.33x = 93,591.45
  5. Step 5: Solve for x
    x = 93,591.45/344.33
  6. Step 6: Final answer
    x = 271.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.