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Finding the Fourth Proportional to 206.76, 286.08 and 180.59

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Solution

The fourth proportional to 206.76, 286.08 and 180.59 is: 249.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.76 : 286.08 = 180.59 : x
  2. Step 2: Convert to fraction form
    206.76/286.08 = 180.59/x
  3. Step 3: Cross multiply
    206.76x = 286.08 × 180.59
  4. Step 4: Simplify right side
    206.76x = 51,663.90
  5. Step 5: Solve for x
    x = 51,663.90/206.76
  6. Step 6: Final answer
    x = 249.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.