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Finding the Fourth Proportional to 203.52, 282.25 and 196.23

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Solution

The fourth proportional to 203.52, 282.25 and 196.23 is: 272.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.52 : 282.25 = 196.23 : x
  2. Step 2: Convert to fraction form
    203.52/282.25 = 196.23/x
  3. Step 3: Cross multiply
    203.52x = 282.25 × 196.23
  4. Step 4: Simplify right side
    203.52x = 55,385.43
  5. Step 5: Solve for x
    x = 55,385.43/203.52
  6. Step 6: Final answer
    x = 272.14

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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.