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Finding the Fourth Proportional to 131.91, 198.86 and 123.11

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Solution

The fourth proportional to 131.91, 198.86 and 123.11 is: 185.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.91 : 198.86 = 123.11 : x
  2. Step 2: Convert to fraction form
    131.91/198.86 = 123.11/x
  3. Step 3: Cross multiply
    131.91x = 198.86 × 123.11
  4. Step 4: Simplify right side
    131.91x = 24,480.04
  5. Step 5: Solve for x
    x = 24,480.04/131.91
  6. Step 6: Final answer
    x = 185.58

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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.