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Finding the Fourth Proportional to 218.97, 301.49 and 182.05

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Solution

The fourth proportional to 218.97, 301.49 and 182.05 is: 250.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.97 : 301.49 = 182.05 : x
  2. Step 2: Convert to fraction form
    218.97/301.49 = 182.05/x
  3. Step 3: Cross multiply
    218.97x = 301.49 × 182.05
  4. Step 4: Simplify right side
    218.97x = 54,885.27
  5. Step 5: Solve for x
    x = 54,885.27/218.97
  6. Step 6: Final answer
    x = 250.65

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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.