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Finding the Fourth Proportional to 311.99, 467.57 and 234.23

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Solution

The fourth proportional to 311.99, 467.57 and 234.23 is: 351.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.99 : 467.57 = 234.23 : x
  2. Step 2: Convert to fraction form
    311.99/467.57 = 234.23/x
  3. Step 3: Cross multiply
    311.99x = 467.57 × 234.23
  4. Step 4: Simplify right side
    311.99x = 109,517.17
  5. Step 5: Solve for x
    x = 109,517.17/311.99
  6. Step 6: Final answer
    x = 351.03

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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.