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Finding the Fourth Proportional to 203.30, 303.88 and 198.44

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Solution

The fourth proportional to 203.30, 303.88 and 198.44 is: 296.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.30 : 303.88 = 198.44 : x
  2. Step 2: Convert to fraction form
    203.30/303.88 = 198.44/x
  3. Step 3: Cross multiply
    203.30x = 303.88 × 198.44
  4. Step 4: Simplify right side
    203.30x = 60,301.95
  5. Step 5: Solve for x
    x = 60,301.95/203.30
  6. Step 6: Final answer
    x = 296.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.