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Finding the Fourth Proportional to 203.53, 303.68 and 198.86

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Solution

The fourth proportional to 203.53, 303.68 and 198.86 is: 296.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.53 : 303.68 = 198.86 : x
  2. Step 2: Convert to fraction form
    203.53/303.68 = 198.86/x
  3. Step 3: Cross multiply
    203.53x = 303.68 × 198.86
  4. Step 4: Simplify right side
    203.53x = 60,390.07
  5. Step 5: Solve for x
    x = 60,390.07/203.53
  6. Step 6: Final answer
    x = 296.72

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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.