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Finding the Fourth Proportional to 399.11, 550.40 and 354.71

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Solution

The fourth proportional to 399.11, 550.40 and 354.71 is: 489.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.11 : 550.40 = 354.71 : x
  2. Step 2: Convert to fraction form
    399.11/550.40 = 354.71/x
  3. Step 3: Cross multiply
    399.11x = 550.40 × 354.71
  4. Step 4: Simplify right side
    399.11x = 195,227.86
  5. Step 5: Solve for x
    x = 195,227.86/399.11
  6. Step 6: Final answer
    x = 489.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.