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Finding the Fourth Proportional to 511.97, 768.08 and 182.97

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Solution

The fourth proportional to 511.97, 768.08 and 182.97 is: 274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.97 : 768.08 = 182.97 : x
  2. Step 2: Convert to fraction form
    511.97/768.08 = 182.97/x
  3. Step 3: Cross multiply
    511.97x = 768.08 × 182.97
  4. Step 4: Simplify right side
    511.97x = 140,537.14
  5. Step 5: Solve for x
    x = 140,537.14/511.97
  6. Step 6: Final answer
    x = 274.50

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Similar ratio
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1.5x scale

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.