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Finding the Fourth Proportional to 399.14, 599.04 and 341.73

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Solution

The fourth proportional to 399.14, 599.04 and 341.73 is: 512.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.14 : 599.04 = 341.73 : x
  2. Step 2: Convert to fraction form
    399.14/599.04 = 341.73/x
  3. Step 3: Cross multiply
    399.14x = 599.04 × 341.73
  4. Step 4: Simplify right side
    399.14x = 204,709.94
  5. Step 5: Solve for x
    x = 204,709.94/399.14
  6. Step 6: Final answer
    x = 512.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.