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Finding the Fourth Proportional to 132.17, 197.13 and 120.47

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Solution

The fourth proportional to 132.17, 197.13 and 120.47 is: 179.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.17 : 197.13 = 120.47 : x
  2. Step 2: Convert to fraction form
    132.17/197.13 = 120.47/x
  3. Step 3: Cross multiply
    132.17x = 197.13 × 120.47
  4. Step 4: Simplify right side
    132.17x = 23,749.66
  5. Step 5: Solve for x
    x = 23,749.66/132.17
  6. Step 6: Final answer
    x = 179.69

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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.