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Finding the Fourth Proportional to 201.42, 302.38 and 200.39

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Solution

The fourth proportional to 201.42, 302.38 and 200.39 is: 300.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.42 : 302.38 = 200.39 : x
  2. Step 2: Convert to fraction form
    201.42/302.38 = 200.39/x
  3. Step 3: Cross multiply
    201.42x = 302.38 × 200.39
  4. Step 4: Simplify right side
    201.42x = 60,593.93
  5. Step 5: Solve for x
    x = 60,593.93/201.42
  6. Step 6: Final answer
    x = 300.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.