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Finding the Fourth Proportional to 511.38, 766.80 and 164.63

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Solution

The fourth proportional to 511.38, 766.80 and 164.63 is: 246.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.38 : 766.80 = 164.63 : x
  2. Step 2: Convert to fraction form
    511.38/766.80 = 164.63/x
  3. Step 3: Cross multiply
    511.38x = 766.80 × 164.63
  4. Step 4: Simplify right side
    511.38x = 126,234.45
  5. Step 5: Solve for x
    x = 126,234.45/511.38
  6. Step 6: Final answer
    x = 246.85

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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.