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Finding the Fourth Proportional to 311.67, 430.03 and 206.73

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Solution

The fourth proportional to 311.67, 430.03 and 206.73 is: 285.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.67 : 430.03 = 206.73 : x
  2. Step 2: Convert to fraction form
    311.67/430.03 = 206.73/x
  3. Step 3: Cross multiply
    311.67x = 430.03 × 206.73
  4. Step 4: Simplify right side
    311.67x = 88,899.73
  5. Step 5: Solve for x
    x = 88,899.73/311.67
  6. Step 6: Final answer
    x = 285.23

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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.