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Finding the Fourth Proportional to 512.86, 769.40 and 220.36

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Solution

The fourth proportional to 512.86, 769.40 and 220.36 is: 330.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.86 : 769.40 = 220.36 : x
  2. Step 2: Convert to fraction form
    512.86/769.40 = 220.36/x
  3. Step 3: Cross multiply
    512.86x = 769.40 × 220.36
  4. Step 4: Simplify right side
    512.86x = 169,544.98
  5. Step 5: Solve for x
    x = 169,544.98/512.86
  6. Step 6: Final answer
    x = 330.59

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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.