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Finding the Fourth Proportional to 207.28, 286.15 and 119.93

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Solution

The fourth proportional to 207.28, 286.15 and 119.93 is: 165.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.28 : 286.15 = 119.93 : x
  2. Step 2: Convert to fraction form
    207.28/286.15 = 119.93/x
  3. Step 3: Cross multiply
    207.28x = 286.15 × 119.93
  4. Step 4: Simplify right side
    207.28x = 34,317.97
  5. Step 5: Solve for x
    x = 34,317.97/207.28
  6. Step 6: Final answer
    x = 165.56

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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.