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Finding the Fourth Proportional to 511.19, 766.85 and 267.78

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Solution

The fourth proportional to 511.19, 766.85 and 267.78 is: 401.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.19 : 766.85 = 267.78 : x
  2. Step 2: Convert to fraction form
    511.19/766.85 = 267.78/x
  3. Step 3: Cross multiply
    511.19x = 766.85 × 267.78
  4. Step 4: Simplify right side
    511.19x = 205,345.75
  5. Step 5: Solve for x
    x = 205,345.75/511.19
  6. Step 6: Final answer
    x = 401.71

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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.