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Finding the Fourth Proportional to 193.42, 267.02 and 119.78

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Solution

The fourth proportional to 193.42, 267.02 and 119.78 is: 165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.42 : 267.02 = 119.78 : x
  2. Step 2: Convert to fraction form
    193.42/267.02 = 119.78/x
  3. Step 3: Cross multiply
    193.42x = 267.02 × 119.78
  4. Step 4: Simplify right side
    193.42x = 31,983.66
  5. Step 5: Solve for x
    x = 31,983.66/193.42
  6. Step 6: Final answer
    x = 165.36

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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.