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Finding the Fourth Proportional to 132.17, 196.83 and 129.60

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Solution

The fourth proportional to 132.17, 196.83 and 129.60 is: 193.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.17 : 196.83 = 129.60 : x
  2. Step 2: Convert to fraction form
    132.17/196.83 = 129.60/x
  3. Step 3: Cross multiply
    132.17x = 196.83 × 129.60
  4. Step 4: Simplify right side
    132.17x = 25,509.17
  5. Step 5: Solve for x
    x = 25,509.17/132.17
  6. Step 6: Final answer
    x = 193.01

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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.