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Finding the Fourth Proportional to 290.03, 400.10 and 196.78

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Solution

The fourth proportional to 290.03, 400.10 and 196.78 is: 271.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.03 : 400.10 = 196.78 : x
  2. Step 2: Convert to fraction form
    290.03/400.10 = 196.78/x
  3. Step 3: Cross multiply
    290.03x = 400.10 × 196.78
  4. Step 4: Simplify right side
    290.03x = 78,731.68
  5. Step 5: Solve for x
    x = 78,731.68/290.03
  6. Step 6: Final answer
    x = 271.46

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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.