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Finding the Fourth Proportional to 272.14, 375.69 and 198.43

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Solution

The fourth proportional to 272.14, 375.69 and 198.43 is: 273.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.14 : 375.69 = 198.43 : x
  2. Step 2: Convert to fraction form
    272.14/375.69 = 198.43/x
  3. Step 3: Cross multiply
    272.14x = 375.69 × 198.43
  4. Step 4: Simplify right side
    272.14x = 74,548.17
  5. Step 5: Solve for x
    x = 74,548.17/272.14
  6. Step 6: Final answer
    x = 273.93

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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.