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Finding the Fourth Proportional to 311.42, 467.20 and 106

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Solution

The fourth proportional to 311.42, 467.20 and 106 is: 159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.42 : 467.20 = 106 : x
  2. Step 2: Convert to fraction form
    311.42/467.20 = 106/x
  3. Step 3: Cross multiply
    311.42x = 467.20 × 106
  4. Step 4: Simplify right side
    311.42x = 49,523.20
  5. Step 5: Solve for x
    x = 49,523.20/311.42
  6. Step 6: Final answer
    x = 159.02

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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.