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Finding the Fourth Proportional to 207.49, 286.37 and 124.60

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Solution

The fourth proportional to 207.49, 286.37 and 124.60 is: 171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.49 : 286.37 = 124.60 : x
  2. Step 2: Convert to fraction form
    207.49/286.37 = 124.60/x
  3. Step 3: Cross multiply
    207.49x = 286.37 × 124.60
  4. Step 4: Simplify right side
    207.49x = 35,680.58
  5. Step 5: Solve for x
    x = 35,680.58/207.49
  6. Step 6: Final answer
    x = 171.97

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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.