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Finding the Fourth Proportional to 131.41, 198.01 and 109.09

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Solution

The fourth proportional to 131.41, 198.01 and 109.09 is: 164.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.41 : 198.01 = 109.09 : x
  2. Step 2: Convert to fraction form
    131.41/198.01 = 109.09/x
  3. Step 3: Cross multiply
    131.41x = 198.01 × 109.09
  4. Step 4: Simplify right side
    131.41x = 21,600.91
  5. Step 5: Solve for x
    x = 21,600.91/131.41
  6. Step 6: Final answer
    x = 164.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.