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Finding the Fourth Proportional to 311.45, 430.11 and 249.68

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Solution

The fourth proportional to 311.45, 430.11 and 249.68 is: 344.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.45 : 430.11 = 249.68 : x
  2. Step 2: Convert to fraction form
    311.45/430.11 = 249.68/x
  3. Step 3: Cross multiply
    311.45x = 430.11 × 249.68
  4. Step 4: Simplify right side
    311.45x = 107,390.94
  5. Step 5: Solve for x
    x = 107,390.94/311.45
  6. Step 6: Final answer
    x = 344.82

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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.