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Finding the Fourth Proportional to 230.05, 316.52 and 198.86

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Solution

The fourth proportional to 230.05, 316.52 and 198.86 is: 273.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.05 : 316.52 = 198.86 : x
  2. Step 2: Convert to fraction form
    230.05/316.52 = 198.86/x
  3. Step 3: Cross multiply
    230.05x = 316.52 × 198.86
  4. Step 4: Simplify right side
    230.05x = 62,944.46
  5. Step 5: Solve for x
    x = 62,944.46/230.05
  6. Step 6: Final answer
    x = 273.62

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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.