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Finding the Fourth Proportional to 311.45, 465.79 and 233.56

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Solution

The fourth proportional to 311.45, 465.79 and 233.56 is: 349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.45 : 465.79 = 233.56 : x
  2. Step 2: Convert to fraction form
    311.45/465.79 = 233.56/x
  3. Step 3: Cross multiply
    311.45x = 465.79 × 233.56
  4. Step 4: Simplify right side
    311.45x = 108,786.42
  5. Step 5: Solve for x
    x = 108,786.42/311.45
  6. Step 6: Final answer
    x = 349.29

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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.