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Finding the Fourth Proportional to 206.97, 285.57 and 133.31

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Solution

The fourth proportional to 206.97, 285.57 and 133.31 is: 183.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.97 : 285.57 = 133.31 : x
  2. Step 2: Convert to fraction form
    206.97/285.57 = 133.31/x
  3. Step 3: Cross multiply
    206.97x = 285.57 × 133.31
  4. Step 4: Simplify right side
    206.97x = 38,067.91
  5. Step 5: Solve for x
    x = 38,067.91/206.97
  6. Step 6: Final answer
    x = 183.93

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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.