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Finding the Fourth Proportional to 409.50, 613.71 and 201.38

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Solution

The fourth proportional to 409.50, 613.71 and 201.38 is: 301.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.50 : 613.71 = 201.38 : x
  2. Step 2: Convert to fraction form
    409.50/613.71 = 201.38/x
  3. Step 3: Cross multiply
    409.50x = 613.71 × 201.38
  4. Step 4: Simplify right side
    409.50x = 123,585.85
  5. Step 5: Solve for x
    x = 123,585.85/409.50
  6. Step 6: Final answer
    x = 301.80

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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.