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Finding the Fourth Proportional to 511.09, 766.77 and 218.44

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Solution

The fourth proportional to 511.09, 766.77 and 218.44 is: 327.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.09 : 766.77 = 218.44 : x
  2. Step 2: Convert to fraction form
    511.09/766.77 = 218.44/x
  3. Step 3: Cross multiply
    511.09x = 766.77 × 218.44
  4. Step 4: Simplify right side
    511.09x = 167,493.38
  5. Step 5: Solve for x
    x = 167,493.38/511.09
  6. Step 6: Final answer
    x = 327.72

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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.