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Finding the Fourth Proportional to 403.61, 605.52 and 198.14

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Solution

The fourth proportional to 403.61, 605.52 and 198.14 is: 297.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.61 : 605.52 = 198.14 : x
  2. Step 2: Convert to fraction form
    403.61/605.52 = 198.14/x
  3. Step 3: Cross multiply
    403.61x = 605.52 × 198.14
  4. Step 4: Simplify right side
    403.61x = 119,979.25
  5. Step 5: Solve for x
    x = 119,979.25/403.61
  6. Step 6: Final answer
    x = 297.26

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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.