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Finding the Fourth Proportional to 193.38, 267.39 and 181.14

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Solution

The fourth proportional to 193.38, 267.39 and 181.14 is: 250.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.38 : 267.39 = 181.14 : x
  2. Step 2: Convert to fraction form
    193.38/267.39 = 181.14/x
  3. Step 3: Cross multiply
    193.38x = 267.39 × 181.14
  4. Step 4: Simplify right side
    193.38x = 48,435.02
  5. Step 5: Solve for x
    x = 48,435.02/193.38
  6. Step 6: Final answer
    x = 250.47

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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.