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Finding the Fourth Proportional to 398.27, 550.28 and 354.22

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Solution

The fourth proportional to 398.27, 550.28 and 354.22 is: 489.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.27 : 550.28 = 354.22 : x
  2. Step 2: Convert to fraction form
    398.27/550.28 = 354.22/x
  3. Step 3: Cross multiply
    398.27x = 550.28 × 354.22
  4. Step 4: Simplify right side
    398.27x = 194,920.18
  5. Step 5: Solve for x
    x = 194,920.18/398.27
  6. Step 6: Final answer
    x = 489.42

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Why These Related Problems?

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