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Finding the Fourth Proportional to 512.43, 768.54 and 200.08

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Solution

The fourth proportional to 512.43, 768.54 and 200.08 is: 300.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.43 : 768.54 = 200.08 : x
  2. Step 2: Convert to fraction form
    512.43/768.54 = 200.08/x
  3. Step 3: Cross multiply
    512.43x = 768.54 × 200.08
  4. Step 4: Simplify right side
    512.43x = 153,771.19
  5. Step 5: Solve for x
    x = 153,771.19/512.43
  6. Step 6: Final answer
    x = 300.08

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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.