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Finding the Fourth Proportional to 404.01, 605.61 and 198.63

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Solution

The fourth proportional to 404.01, 605.61 and 198.63 is: 297.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.01 : 605.61 = 198.63 : x
  2. Step 2: Convert to fraction form
    404.01/605.61 = 198.63/x
  3. Step 3: Cross multiply
    404.01x = 605.61 × 198.63
  4. Step 4: Simplify right side
    404.01x = 120,292.31
  5. Step 5: Solve for x
    x = 120,292.31/404.01
  6. Step 6: Final answer
    x = 297.75

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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.