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Finding the Fourth Proportional to 218.97, 301.90 and 189.36

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Solution

The fourth proportional to 218.97, 301.90 and 189.36 is: 261.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.97 : 301.90 = 189.36 : x
  2. Step 2: Convert to fraction form
    218.97/301.90 = 189.36/x
  3. Step 3: Cross multiply
    218.97x = 301.90 × 189.36
  4. Step 4: Simplify right side
    218.97x = 57,167.78
  5. Step 5: Solve for x
    x = 57,167.78/218.97
  6. Step 6: Final answer
    x = 261.08

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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.