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Finding the Fourth Proportional to 207.92, 286.98 and 119.45

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Solution

The fourth proportional to 207.92, 286.98 and 119.45 is: 164.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.92 : 286.98 = 119.45 : x
  2. Step 2: Convert to fraction form
    207.92/286.98 = 119.45/x
  3. Step 3: Cross multiply
    207.92x = 286.98 × 119.45
  4. Step 4: Simplify right side
    207.92x = 34,279.76
  5. Step 5: Solve for x
    x = 34,279.76/207.92
  6. Step 6: Final answer
    x = 164.87

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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.