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Finding the Fourth Proportional to 243.15, 363.87 and 199.29

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Solution

The fourth proportional to 243.15, 363.87 and 199.29 is: 298.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.15 : 363.87 = 199.29 : x
  2. Step 2: Convert to fraction form
    243.15/363.87 = 199.29/x
  3. Step 3: Cross multiply
    243.15x = 363.87 × 199.29
  4. Step 4: Simplify right side
    243.15x = 72,515.65
  5. Step 5: Solve for x
    x = 72,515.65/243.15
  6. Step 6: Final answer
    x = 298.23

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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.