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Finding the Fourth Proportional to 218.11, 300.47 and 183.14

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Solution

The fourth proportional to 218.11, 300.47 and 183.14 is: 252.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.11 : 300.47 = 183.14 : x
  2. Step 2: Convert to fraction form
    218.11/300.47 = 183.14/x
  3. Step 3: Cross multiply
    218.11x = 300.47 × 183.14
  4. Step 4: Simplify right side
    218.11x = 55,027.97
  5. Step 5: Solve for x
    x = 55,027.97/218.11
  6. Step 6: Final answer
    x = 252.29

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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.