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Finding the Fourth Proportional to 207.89, 286.86 and 120.55

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Solution

The fourth proportional to 207.89, 286.86 and 120.55 is: 166.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.89 : 286.86 = 120.55 : x
  2. Step 2: Convert to fraction form
    207.89/286.86 = 120.55/x
  3. Step 3: Cross multiply
    207.89x = 286.86 × 120.55
  4. Step 4: Simplify right side
    207.89x = 34,580.97
  5. Step 5: Solve for x
    x = 34,580.97/207.89
  6. Step 6: Final answer
    x = 166.34

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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.