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Finding the Fourth Proportional to 383.29, 574.57 and 200.46

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Solution

The fourth proportional to 383.29, 574.57 and 200.46 is: 300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.29 : 574.57 = 200.46 : x
  2. Step 2: Convert to fraction form
    383.29/574.57 = 200.46/x
  3. Step 3: Cross multiply
    383.29x = 574.57 × 200.46
  4. Step 4: Simplify right side
    383.29x = 115,178.30
  5. Step 5: Solve for x
    x = 115,178.30/383.29
  6. Step 6: Final answer
    x = 300.50

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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.