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Finding the Fourth Proportional to 311.56, 467.10 and 140.68

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Solution

The fourth proportional to 311.56, 467.10 and 140.68 is: 210.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.56 : 467.10 = 140.68 : x
  2. Step 2: Convert to fraction form
    311.56/467.10 = 140.68/x
  3. Step 3: Cross multiply
    311.56x = 467.10 × 140.68
  4. Step 4: Simplify right side
    311.56x = 65,711.63
  5. Step 5: Solve for x
    x = 65,711.63/311.56
  6. Step 6: Final answer
    x = 210.91

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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.