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Finding the Fourth Proportional to 400.01, 599.81 and 284.38

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Solution

The fourth proportional to 400.01, 599.81 and 284.38 is: 426.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.01 : 599.81 = 284.38 : x
  2. Step 2: Convert to fraction form
    400.01/599.81 = 284.38/x
  3. Step 3: Cross multiply
    400.01x = 599.81 × 284.38
  4. Step 4: Simplify right side
    400.01x = 170,571.05
  5. Step 5: Solve for x
    x = 170,571.05/400.01
  6. Step 6: Final answer
    x = 426.42

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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.