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Finding the Fourth Proportional to 207.73, 286.82 and 166.51

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Solution

The fourth proportional to 207.73, 286.82 and 166.51 is: 229.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.73 : 286.82 = 166.51 : x
  2. Step 2: Convert to fraction form
    207.73/286.82 = 166.51/x
  3. Step 3: Cross multiply
    207.73x = 286.82 × 166.51
  4. Step 4: Simplify right side
    207.73x = 47,758.40
  5. Step 5: Solve for x
    x = 47,758.40/207.73
  6. Step 6: Final answer
    x = 229.91

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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.