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Finding the Fourth Proportional to 433.45, 649.20 and 311.33

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Solution

The fourth proportional to 433.45, 649.20 and 311.33 is: 466.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.45 : 649.20 = 311.33 : x
  2. Step 2: Convert to fraction form
    433.45/649.20 = 311.33/x
  3. Step 3: Cross multiply
    433.45x = 649.20 × 311.33
  4. Step 4: Simplify right side
    433.45x = 202,115.44
  5. Step 5: Solve for x
    x = 202,115.44/433.45
  6. Step 6: Final answer
    x = 466.29

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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.