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Finding the Fourth Proportional to 203.84, 303.94 and 200.19

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Solution

The fourth proportional to 203.84, 303.94 and 200.19 is: 298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.84 : 303.94 = 200.19 : x
  2. Step 2: Convert to fraction form
    203.84/303.94 = 200.19/x
  3. Step 3: Cross multiply
    203.84x = 303.94 × 200.19
  4. Step 4: Simplify right side
    203.84x = 60,844.75
  5. Step 5: Solve for x
    x = 60,844.75/203.84
  6. Step 6: Final answer
    x = 298.50

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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.