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Finding the Fourth Proportional to 363.83, 502.07 and 198.05

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Solution

The fourth proportional to 363.83, 502.07 and 198.05 is: 273.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.83 : 502.07 = 198.05 : x
  2. Step 2: Convert to fraction form
    363.83/502.07 = 198.05/x
  3. Step 3: Cross multiply
    363.83x = 502.07 × 198.05
  4. Step 4: Simplify right side
    363.83x = 99,431.46
  5. Step 5: Solve for x
    x = 99,431.46/363.83
  6. Step 6: Final answer
    x = 273.29

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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.