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Finding the Fourth Proportional to 383.27, 574.52 and 198.11

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Solution

The fourth proportional to 383.27, 574.52 and 198.11 is: 296.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.27 : 574.52 = 198.11 : x
  2. Step 2: Convert to fraction form
    383.27/574.52 = 198.11/x
  3. Step 3: Cross multiply
    383.27x = 574.52 × 198.11
  4. Step 4: Simplify right side
    383.27x = 113,814.29
  5. Step 5: Solve for x
    x = 113,814.29/383.27
  6. Step 6: Final answer
    x = 296.96

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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.