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Finding the Fourth Proportional to 207.99, 287.07 and 142.58

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Solution

The fourth proportional to 207.99, 287.07 and 142.58 is: 196.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.99 : 287.07 = 142.58 : x
  2. Step 2: Convert to fraction form
    207.99/287.07 = 142.58/x
  3. Step 3: Cross multiply
    207.99x = 287.07 × 142.58
  4. Step 4: Simplify right side
    207.99x = 40,930.44
  5. Step 5: Solve for x
    x = 40,930.44/207.99
  6. Step 6: Final answer
    x = 196.79

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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.