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Finding the Fourth Proportional to 207.88, 286.98 and 134.33

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Solution

The fourth proportional to 207.88, 286.98 and 134.33 is: 185.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.88 : 286.98 = 134.33 : x
  2. Step 2: Convert to fraction form
    207.88/286.98 = 134.33/x
  3. Step 3: Cross multiply
    207.88x = 286.98 × 134.33
  4. Step 4: Simplify right side
    207.88x = 38,548.08
  5. Step 5: Solve for x
    x = 38,548.08/207.88
  6. Step 6: Final answer
    x = 185.43

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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.