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Finding the Fourth Proportional to 211.28, 316.41 and 193.97

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Solution

The fourth proportional to 211.28, 316.41 and 193.97 is: 290.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.28 : 316.41 = 193.97 : x
  2. Step 2: Convert to fraction form
    211.28/316.41 = 193.97/x
  3. Step 3: Cross multiply
    211.28x = 316.41 × 193.97
  4. Step 4: Simplify right side
    211.28x = 61,372.47
  5. Step 5: Solve for x
    x = 61,372.47/211.28
  6. Step 6: Final answer
    x = 290.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.