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Finding the Fourth Proportional to 311.68, 467.64 and 119.26

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Solution

The fourth proportional to 311.68, 467.64 and 119.26 is: 178.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.68 : 467.64 = 119.26 : x
  2. Step 2: Convert to fraction form
    311.68/467.64 = 119.26/x
  3. Step 3: Cross multiply
    311.68x = 467.64 × 119.26
  4. Step 4: Simplify right side
    311.68x = 55,770.75
  5. Step 5: Solve for x
    x = 55,770.75/311.68
  6. Step 6: Final answer
    x = 178.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.