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Finding the Fourth Proportional to 206.46, 310.92 and 179.73

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Solution

The fourth proportional to 206.46, 310.92 and 179.73 is: 270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.46 : 310.92 = 179.73 : x
  2. Step 2: Convert to fraction form
    206.46/310.92 = 179.73/x
  3. Step 3: Cross multiply
    206.46x = 310.92 × 179.73
  4. Step 4: Simplify right side
    206.46x = 55,880.98
  5. Step 5: Solve for x
    x = 55,880.98/206.46
  6. Step 6: Final answer
    x = 270.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.