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Finding the Fourth Proportional to 383.39, 574.57 and 209.80

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Solution

The fourth proportional to 383.39, 574.57 and 209.80 is: 314.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.39 : 574.57 = 209.80 : x
  2. Step 2: Convert to fraction form
    383.39/574.57 = 209.80/x
  3. Step 3: Cross multiply
    383.39x = 574.57 × 209.80
  4. Step 4: Simplify right side
    383.39x = 120,540.86
  5. Step 5: Solve for x
    x = 120,540.86/383.39
  6. Step 6: Final answer
    x = 314.41

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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.