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Finding the Fourth Proportional to 733.20, 1,099.74 and 213.18

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Solution

The fourth proportional to 733.20, 1,099.74 and 213.18 is: 319.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.20 : 1,099.74 = 213.18 : x
  2. Step 2: Convert to fraction form
    733.20/1,099.74 = 213.18/x
  3. Step 3: Cross multiply
    733.20x = 1,099.74 × 213.18
  4. Step 4: Simplify right side
    733.20x = 234,442.57
  5. Step 5: Solve for x
    x = 234,442.57/733.20
  6. Step 6: Final answer
    x = 319.75

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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.