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Finding the Fourth Proportional to 400.27, 599.73 and 284.15

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Solution

The fourth proportional to 400.27, 599.73 and 284.15 is: 425.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.27 : 599.73 = 284.15 : x
  2. Step 2: Convert to fraction form
    400.27/599.73 = 284.15/x
  3. Step 3: Cross multiply
    400.27x = 599.73 × 284.15
  4. Step 4: Simplify right side
    400.27x = 170,414.78
  5. Step 5: Solve for x
    x = 170,414.78/400.27
  6. Step 6: Final answer
    x = 425.75

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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.