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Finding the Fourth Proportional to 383.77, 574.23 and 229.80

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Solution

The fourth proportional to 383.77, 574.23 and 229.80 is: 343.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.77 : 574.23 = 229.80 : x
  2. Step 2: Convert to fraction form
    383.77/574.23 = 229.80/x
  3. Step 3: Cross multiply
    383.77x = 574.23 × 229.80
  4. Step 4: Simplify right side
    383.77x = 131,958.05
  5. Step 5: Solve for x
    x = 131,958.05/383.77
  6. Step 6: Final answer
    x = 343.85

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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.