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Finding the Fourth Proportional to 193.70, 267.36 and 168.60

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Solution

The fourth proportional to 193.70, 267.36 and 168.60 is: 232.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.70 : 267.36 = 168.60 : x
  2. Step 2: Convert to fraction form
    193.70/267.36 = 168.60/x
  3. Step 3: Cross multiply
    193.70x = 267.36 × 168.60
  4. Step 4: Simplify right side
    193.70x = 45,076.90
  5. Step 5: Solve for x
    x = 45,076.90/193.70
  6. Step 6: Final answer
    x = 232.72

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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.