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Finding the Fourth Proportional to 511.47, 766.92 and 218.85

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Solution

The fourth proportional to 511.47, 766.92 and 218.85 is: 328.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.47 : 766.92 = 218.85 : x
  2. Step 2: Convert to fraction form
    511.47/766.92 = 218.85/x
  3. Step 3: Cross multiply
    511.47x = 766.92 × 218.85
  4. Step 4: Simplify right side
    511.47x = 167,840.44
  5. Step 5: Solve for x
    x = 167,840.44/511.47
  6. Step 6: Final answer
    x = 328.15

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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.