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Finding the Fourth Proportional to 512.39, 767.21 and 268.40

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Solution

The fourth proportional to 512.39, 767.21 and 268.40 is: 401.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.39 : 767.21 = 268.40 : x
  2. Step 2: Convert to fraction form
    512.39/767.21 = 268.40/x
  3. Step 3: Cross multiply
    512.39x = 767.21 × 268.40
  4. Step 4: Simplify right side
    512.39x = 205,916.57
  5. Step 5: Solve for x
    x = 205,916.57/512.39
  6. Step 6: Final answer
    x = 401.88

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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.