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Finding the Fourth Proportional to 403.84, 605.46 and 198.31

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Solution

The fourth proportional to 403.84, 605.46 and 198.31 is: 297.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.84 : 605.46 = 198.31 : x
  2. Step 2: Convert to fraction form
    403.84/605.46 = 198.31/x
  3. Step 3: Cross multiply
    403.84x = 605.46 × 198.31
  4. Step 4: Simplify right side
    403.84x = 120,067.16
  5. Step 5: Solve for x
    x = 120,067.16/403.84
  6. Step 6: Final answer
    x = 297.31

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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.