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Finding the Fourth Proportional to 217.78, 300.05 and 194.47

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Solution

The fourth proportional to 217.78, 300.05 and 194.47 is: 267.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.78 : 300.05 = 194.47 : x
  2. Step 2: Convert to fraction form
    217.78/300.05 = 194.47/x
  3. Step 3: Cross multiply
    217.78x = 300.05 × 194.47
  4. Step 4: Simplify right side
    217.78x = 58,348.25
  5. Step 5: Solve for x
    x = 58,348.25/217.78
  6. Step 6: Final answer
    x = 267.93

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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.