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Finding the Fourth Proportional to 311.39, 467.08 and 106.10

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Solution

The fourth proportional to 311.39, 467.08 and 106.10 is: 159.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.39 : 467.08 = 106.10 : x
  2. Step 2: Convert to fraction form
    311.39/467.08 = 106.10/x
  3. Step 3: Cross multiply
    311.39x = 467.08 × 106.10
  4. Step 4: Simplify right side
    311.39x = 49,558.49
  5. Step 5: Solve for x
    x = 49,558.49/311.39
  6. Step 6: Final answer
    x = 159.15

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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.