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Finding the Fourth Proportional to 599.22, 898.83 and 209.21

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Solution

The fourth proportional to 599.22, 898.83 and 209.21 is: 313.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.22 : 898.83 = 209.21 : x
  2. Step 2: Convert to fraction form
    599.22/898.83 = 209.21/x
  3. Step 3: Cross multiply
    599.22x = 898.83 × 209.21
  4. Step 4: Simplify right side
    599.22x = 188,039.73
  5. Step 5: Solve for x
    x = 188,039.73/599.22
  6. Step 6: Final answer
    x = 313.81

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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.