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Finding the Fourth Proportional to 193.78, 267.42 and 116.14

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Solution

The fourth proportional to 193.78, 267.42 and 116.14 is: 160.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.78 : 267.42 = 116.14 : x
  2. Step 2: Convert to fraction form
    193.78/267.42 = 116.14/x
  3. Step 3: Cross multiply
    193.78x = 267.42 × 116.14
  4. Step 4: Simplify right side
    193.78x = 31,058.16
  5. Step 5: Solve for x
    x = 31,058.16/193.78
  6. Step 6: Final answer
    x = 160.28

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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.