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Finding the Fourth Proportional to 311.89, 430.09 and 206.94

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Solution

The fourth proportional to 311.89, 430.09 and 206.94 is: 285.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.89 : 430.09 = 206.94 : x
  2. Step 2: Convert to fraction form
    311.89/430.09 = 206.94/x
  3. Step 3: Cross multiply
    311.89x = 430.09 × 206.94
  4. Step 4: Simplify right side
    311.89x = 89,002.82
  5. Step 5: Solve for x
    x = 89,002.82/311.89
  6. Step 6: Final answer
    x = 285.37

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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.