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Finding the Fourth Proportional to 512.64, 769.14 and 223.92

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Solution

The fourth proportional to 512.64, 769.14 and 223.92 is: 335.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.64 : 769.14 = 223.92 : x
  2. Step 2: Convert to fraction form
    512.64/769.14 = 223.92/x
  3. Step 3: Cross multiply
    512.64x = 769.14 × 223.92
  4. Step 4: Simplify right side
    512.64x = 172,225.83
  5. Step 5: Solve for x
    x = 172,225.83/512.64
  6. Step 6: Final answer
    x = 335.96

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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.