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Finding the Fourth Proportional to 207.82, 286.85 and 142.31

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Solution

The fourth proportional to 207.82, 286.85 and 142.31 is: 196.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.82 : 286.85 = 142.31 : x
  2. Step 2: Convert to fraction form
    207.82/286.85 = 142.31/x
  3. Step 3: Cross multiply
    207.82x = 286.85 × 142.31
  4. Step 4: Simplify right side
    207.82x = 40,820.19
  5. Step 5: Solve for x
    x = 40,820.19/207.82
  6. Step 6: Final answer
    x = 196.42

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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.