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Finding the Fourth Proportional to 207.66, 286.61 and 129

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Solution

The fourth proportional to 207.66, 286.61 and 129 is: 178.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.66 : 286.61 = 129 : x
  2. Step 2: Convert to fraction form
    207.66/286.61 = 129/x
  3. Step 3: Cross multiply
    207.66x = 286.61 × 129
  4. Step 4: Simplify right side
    207.66x = 36,972.05
  5. Step 5: Solve for x
    x = 36,972.05/207.66
  6. Step 6: Final answer
    x = 178.04

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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.