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Finding the Fourth Proportional to 193.73, 267.36 and 135.53

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Solution

The fourth proportional to 193.73, 267.36 and 135.53 is: 187.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.73 : 267.36 = 135.53 : x
  2. Step 2: Convert to fraction form
    193.73/267.36 = 135.53/x
  3. Step 3: Cross multiply
    193.73x = 267.36 × 135.53
  4. Step 4: Simplify right side
    193.73x = 36,235.30
  5. Step 5: Solve for x
    x = 36,235.30/193.73
  6. Step 6: Final answer
    x = 187.04

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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.