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Finding the Fourth Proportional to 512.02, 767.52 and 268.24

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Solution

The fourth proportional to 512.02, 767.52 and 268.24 is: 402.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.02 : 767.52 = 268.24 : x
  2. Step 2: Convert to fraction form
    512.02/767.52 = 268.24/x
  3. Step 3: Cross multiply
    512.02x = 767.52 × 268.24
  4. Step 4: Simplify right side
    512.02x = 205,879.56
  5. Step 5: Solve for x
    x = 205,879.56/512.02
  6. Step 6: Final answer
    x = 402.09

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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.