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Finding the Fourth Proportional to 311.94, 467.90 and 140.94

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Solution

The fourth proportional to 311.94, 467.90 and 140.94 is: 211.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.94 : 467.90 = 140.94 : x
  2. Step 2: Convert to fraction form
    311.94/467.90 = 140.94/x
  3. Step 3: Cross multiply
    311.94x = 467.90 × 140.94
  4. Step 4: Simplify right side
    311.94x = 65,945.83
  5. Step 5: Solve for x
    x = 65,945.83/311.94
  6. Step 6: Final answer
    x = 211.41

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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.