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Finding the Fourth Proportional to 198.21, 297.12 and 111.59

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Solution

The fourth proportional to 198.21, 297.12 and 111.59 is: 167.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.21 : 297.12 = 111.59 : x
  2. Step 2: Convert to fraction form
    198.21/297.12 = 111.59/x
  3. Step 3: Cross multiply
    198.21x = 297.12 × 111.59
  4. Step 4: Simplify right side
    198.21x = 33,154.14
  5. Step 5: Solve for x
    x = 33,154.14/198.21
  6. Step 6: Final answer
    x = 167.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.