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Finding the Fourth Proportional to 512.59, 769.08 and 200.26

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Solution

The fourth proportional to 512.59, 769.08 and 200.26 is: 300.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.59 : 769.08 = 200.26 : x
  2. Step 2: Convert to fraction form
    512.59/769.08 = 200.26/x
  3. Step 3: Cross multiply
    512.59x = 769.08 × 200.26
  4. Step 4: Simplify right side
    512.59x = 154,015.96
  5. Step 5: Solve for x
    x = 154,015.96/512.59
  6. Step 6: Final answer
    x = 300.47

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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.