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Finding the Fourth Proportional to 290.04, 400.20 and 196.96

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Solution

The fourth proportional to 290.04, 400.20 and 196.96 is: 271.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.04 : 400.20 = 196.96 : x
  2. Step 2: Convert to fraction form
    290.04/400.20 = 196.96/x
  3. Step 3: Cross multiply
    290.04x = 400.20 × 196.96
  4. Step 4: Simplify right side
    290.04x = 78,823.39
  5. Step 5: Solve for x
    x = 78,823.39/290.04
  6. Step 6: Final answer
    x = 271.77

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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.