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Finding the Fourth Proportional to 206.85, 284.97 and 169.79

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Solution

The fourth proportional to 206.85, 284.97 and 169.79 is: 233.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.85 : 284.97 = 169.79 : x
  2. Step 2: Convert to fraction form
    206.85/284.97 = 169.79/x
  3. Step 3: Cross multiply
    206.85x = 284.97 × 169.79
  4. Step 4: Simplify right side
    206.85x = 48,383.63
  5. Step 5: Solve for x
    x = 48,383.63/206.85
  6. Step 6: Final answer
    x = 233.91

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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.