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Finding the Fourth Proportional to 383.64, 575.16 and 200.92

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Solution

The fourth proportional to 383.64, 575.16 and 200.92 is: 301.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.64 : 575.16 = 200.92 : x
  2. Step 2: Convert to fraction form
    383.64/575.16 = 200.92/x
  3. Step 3: Cross multiply
    383.64x = 575.16 × 200.92
  4. Step 4: Simplify right side
    383.64x = 115,561.15
  5. Step 5: Solve for x
    x = 115,561.15/383.64
  6. Step 6: Final answer
    x = 301.22

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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.