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Finding the Fourth Proportional to 200.38, 300.67 and 185.35

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Solution

The fourth proportional to 200.38, 300.67 and 185.35 is: 278.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.38 : 300.67 = 185.35 : x
  2. Step 2: Convert to fraction form
    200.38/300.67 = 185.35/x
  3. Step 3: Cross multiply
    200.38x = 300.67 × 185.35
  4. Step 4: Simplify right side
    200.38x = 55,729.18
  5. Step 5: Solve for x
    x = 55,729.18/200.38
  6. Step 6: Final answer
    x = 278.12

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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.