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Finding the Fourth Proportional to 272.73, 376.38 and 194.13

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Solution

The fourth proportional to 272.73, 376.38 and 194.13 is: 267.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.73 : 376.38 = 194.13 : x
  2. Step 2: Convert to fraction form
    272.73/376.38 = 194.13/x
  3. Step 3: Cross multiply
    272.73x = 376.38 × 194.13
  4. Step 4: Simplify right side
    272.73x = 73,066.65
  5. Step 5: Solve for x
    x = 73,066.65/272.73
  6. Step 6: Final answer
    x = 267.91

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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.