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Finding the Fourth Proportional to 218.11, 300.97 and 119.87

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Solution

The fourth proportional to 218.11, 300.97 and 119.87 is: 165.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.11 : 300.97 = 119.87 : x
  2. Step 2: Convert to fraction form
    218.11/300.97 = 119.87/x
  3. Step 3: Cross multiply
    218.11x = 300.97 × 119.87
  4. Step 4: Simplify right side
    218.11x = 36,077.27
  5. Step 5: Solve for x
    x = 36,077.27/218.11
  6. Step 6: Final answer
    x = 165.41

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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.