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Finding the Fourth Proportional to 207.82, 286.85 and 124.95

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Solution

The fourth proportional to 207.82, 286.85 and 124.95 is: 172.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.82 : 286.85 = 124.95 : x
  2. Step 2: Convert to fraction form
    207.82/286.85 = 124.95/x
  3. Step 3: Cross multiply
    207.82x = 286.85 × 124.95
  4. Step 4: Simplify right side
    207.82x = 35,841.91
  5. Step 5: Solve for x
    x = 35,841.91/207.82
  6. Step 6: Final answer
    x = 172.47

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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.