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Finding the Fourth Proportional to 733.56, 1,100.31 and 213.56

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Solution

The fourth proportional to 733.56, 1,100.31 and 213.56 is: 320.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.56 : 1,100.31 = 213.56 : x
  2. Step 2: Convert to fraction form
    733.56/1,100.31 = 213.56/x
  3. Step 3: Cross multiply
    733.56x = 1,100.31 × 213.56
  4. Step 4: Simplify right side
    733.56x = 234,976.70
  5. Step 5: Solve for x
    x = 234,976.70/733.56
  6. Step 6: Final answer
    x = 320.32

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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.