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Finding the Fourth Proportional to 267.82, 369.17 and 211.72

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Solution

The fourth proportional to 267.82, 369.17 and 211.72 is: 291.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.82 : 369.17 = 211.72 : x
  2. Step 2: Convert to fraction form
    267.82/369.17 = 211.72/x
  3. Step 3: Cross multiply
    267.82x = 369.17 × 211.72
  4. Step 4: Simplify right side
    267.82x = 78,160.67
  5. Step 5: Solve for x
    x = 78,160.67/267.82
  6. Step 6: Final answer
    x = 291.84

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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.