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Finding the Fourth Proportional to 132.25, 196.81 and 127.39

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Solution

The fourth proportional to 132.25, 196.81 and 127.39 is: 189.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.25 : 196.81 = 127.39 : x
  2. Step 2: Convert to fraction form
    132.25/196.81 = 127.39/x
  3. Step 3: Cross multiply
    132.25x = 196.81 × 127.39
  4. Step 4: Simplify right side
    132.25x = 25,070.00
  5. Step 5: Solve for x
    x = 25,070.00/132.25
  6. Step 6: Final answer
    x = 189.57

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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.