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Finding the Fourth Proportional to 207.83, 286.85 and 142.43

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Solution

The fourth proportional to 207.83, 286.85 and 142.43 is: 196.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.83 : 286.85 = 142.43 : x
  2. Step 2: Convert to fraction form
    207.83/286.85 = 142.43/x
  3. Step 3: Cross multiply
    207.83x = 286.85 × 142.43
  4. Step 4: Simplify right side
    207.83x = 40,855.33
  5. Step 5: Solve for x
    x = 40,855.33/207.83
  6. Step 6: Final answer
    x = 196.58

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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.