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Finding the Fourth Proportional to 131.82, 196.23 and 131.13

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Solution

The fourth proportional to 131.82, 196.23 and 131.13 is: 195.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.82 : 196.23 = 131.13 : x
  2. Step 2: Convert to fraction form
    131.82/196.23 = 131.13/x
  3. Step 3: Cross multiply
    131.82x = 196.23 × 131.13
  4. Step 4: Simplify right side
    131.82x = 25,731.64
  5. Step 5: Solve for x
    x = 25,731.64/131.82
  6. Step 6: Final answer
    x = 195.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.