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Finding the Fourth Proportional to 131.50, 196.22 and 119.38

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Solution

The fourth proportional to 131.50, 196.22 and 119.38 is: 178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.50 : 196.22 = 119.38 : x
  2. Step 2: Convert to fraction form
    131.50/196.22 = 119.38/x
  3. Step 3: Cross multiply
    131.50x = 196.22 × 119.38
  4. Step 4: Simplify right side
    131.50x = 23,424.74
  5. Step 5: Solve for x
    x = 23,424.74/131.50
  6. Step 6: Final answer
    x = 178.13

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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.