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Finding the Fourth Proportional to 311.19, 465.84 and 252.87

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Solution

The fourth proportional to 311.19, 465.84 and 252.87 is: 378.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.19 : 465.84 = 252.87 : x
  2. Step 2: Convert to fraction form
    311.19/465.84 = 252.87/x
  3. Step 3: Cross multiply
    311.19x = 465.84 × 252.87
  4. Step 4: Simplify right side
    311.19x = 117,796.96
  5. Step 5: Solve for x
    x = 117,796.96/311.19
  6. Step 6: Final answer
    x = 378.54

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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.