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Finding the Fourth Proportional to 210.97, 290.94 and 196.42

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Solution

The fourth proportional to 210.97, 290.94 and 196.42 is: 270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.97 : 290.94 = 196.42 : x
  2. Step 2: Convert to fraction form
    210.97/290.94 = 196.42/x
  3. Step 3: Cross multiply
    210.97x = 290.94 × 196.42
  4. Step 4: Simplify right side
    210.97x = 57,146.43
  5. Step 5: Solve for x
    x = 57,146.43/210.97
  6. Step 6: Final answer
    x = 270.87

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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.