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Finding the Fourth Proportional to 222.84, 335.43 and 196.38

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Solution

The fourth proportional to 222.84, 335.43 and 196.38 is: 295.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.84 : 335.43 = 196.38 : x
  2. Step 2: Convert to fraction form
    222.84/335.43 = 196.38/x
  3. Step 3: Cross multiply
    222.84x = 335.43 × 196.38
  4. Step 4: Simplify right side
    222.84x = 65,871.74
  5. Step 5: Solve for x
    x = 65,871.74/222.84
  6. Step 6: Final answer
    x = 295.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.