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Finding the Fourth Proportional to 132.43, 197.71 and 119.47

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Solution

The fourth proportional to 132.43, 197.71 and 119.47 is: 178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.43 : 197.71 = 119.47 : x
  2. Step 2: Convert to fraction form
    132.43/197.71 = 119.47/x
  3. Step 3: Cross multiply
    132.43x = 197.71 × 119.47
  4. Step 4: Simplify right side
    132.43x = 23,620.41
  5. Step 5: Solve for x
    x = 23,620.41/132.43
  6. Step 6: Final answer
    x = 178.36

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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.