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Finding the Fourth Proportional to 193.62, 266.96 and 189.56

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Solution

The fourth proportional to 193.62, 266.96 and 189.56 is: 261.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.62 : 266.96 = 189.56 : x
  2. Step 2: Convert to fraction form
    193.62/266.96 = 189.56/x
  3. Step 3: Cross multiply
    193.62x = 266.96 × 189.56
  4. Step 4: Simplify right side
    193.62x = 50,604.94
  5. Step 5: Solve for x
    x = 50,604.94/193.62
  6. Step 6: Final answer
    x = 261.36

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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.