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Finding the Fourth Proportional to 200.05, 300.33 and 154.43

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Solution

The fourth proportional to 200.05, 300.33 and 154.43 is: 231.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.05 : 300.33 = 154.43 : x
  2. Step 2: Convert to fraction form
    200.05/300.33 = 154.43/x
  3. Step 3: Cross multiply
    200.05x = 300.33 × 154.43
  4. Step 4: Simplify right side
    200.05x = 46,379.96
  5. Step 5: Solve for x
    x = 46,379.96/200.05
  6. Step 6: Final answer
    x = 231.84

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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.