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Finding the Fourth Proportional to 203.26, 303.27 and 198.81

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Solution

The fourth proportional to 203.26, 303.27 and 198.81 is: 296.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.26 : 303.27 = 198.81 : x
  2. Step 2: Convert to fraction form
    203.26/303.27 = 198.81/x
  3. Step 3: Cross multiply
    203.26x = 303.27 × 198.81
  4. Step 4: Simplify right side
    203.26x = 60,293.11
  5. Step 5: Solve for x
    x = 60,293.11/203.26
  6. Step 6: Final answer
    x = 296.63

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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.