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Finding the Fourth Proportional to 272.11, 375.67 and 208.97

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Solution

The fourth proportional to 272.11, 375.67 and 208.97 is: 288.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.11 : 375.67 = 208.97 : x
  2. Step 2: Convert to fraction form
    272.11/375.67 = 208.97/x
  3. Step 3: Cross multiply
    272.11x = 375.67 × 208.97
  4. Step 4: Simplify right side
    272.11x = 78,504.49
  5. Step 5: Solve for x
    x = 78,504.49/272.11
  6. Step 6: Final answer
    x = 288.50

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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.