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Finding the Fourth Proportional to 311.70, 430.06 and 198.09

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Solution

The fourth proportional to 311.70, 430.06 and 198.09 is: 273.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.70 : 430.06 = 198.09 : x
  2. Step 2: Convert to fraction form
    311.70/430.06 = 198.09/x
  3. Step 3: Cross multiply
    311.70x = 430.06 × 198.09
  4. Step 4: Simplify right side
    311.70x = 85,191.54
  5. Step 5: Solve for x
    x = 85,191.54/311.70
  6. Step 6: Final answer
    x = 273.32

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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.