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Finding the Fourth Proportional to 511.45, 766.46 and 267.49

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Solution

The fourth proportional to 511.45, 766.46 and 267.49 is: 400.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.45 : 766.46 = 267.49 : x
  2. Step 2: Convert to fraction form
    511.45/766.46 = 267.49/x
  3. Step 3: Cross multiply
    511.45x = 766.46 × 267.49
  4. Step 4: Simplify right side
    511.45x = 205,020.39
  5. Step 5: Solve for x
    x = 205,020.39/511.45
  6. Step 6: Final answer
    x = 400.86

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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.