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Finding the Fourth Proportional to 203.78, 282.66 and 196.49

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Solution

The fourth proportional to 203.78, 282.66 and 196.49 is: 272.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.78 : 282.66 = 196.49 : x
  2. Step 2: Convert to fraction form
    203.78/282.66 = 196.49/x
  3. Step 3: Cross multiply
    203.78x = 282.66 × 196.49
  4. Step 4: Simplify right side
    203.78x = 55,539.86
  5. Step 5: Solve for x
    x = 55,539.86/203.78
  6. Step 6: Final answer
    x = 272.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.