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Finding the Fourth Proportional to 311.69, 467.13 and 195.86

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Solution

The fourth proportional to 311.69, 467.13 and 195.86 is: 293.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.69 : 467.13 = 195.86 : x
  2. Step 2: Convert to fraction form
    311.69/467.13 = 195.86/x
  3. Step 3: Cross multiply
    311.69x = 467.13 × 195.86
  4. Step 4: Simplify right side
    311.69x = 91,492.08
  5. Step 5: Solve for x
    x = 91,492.08/311.69
  6. Step 6: Final answer
    x = 293.54

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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.