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Finding the Fourth Proportional to 132.72, 200.22 and 127.68

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Solution

The fourth proportional to 132.72, 200.22 and 127.68 is: 192.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.72 : 200.22 = 127.68 : x
  2. Step 2: Convert to fraction form
    132.72/200.22 = 127.68/x
  3. Step 3: Cross multiply
    132.72x = 200.22 × 127.68
  4. Step 4: Simplify right side
    132.72x = 25,564.09
  5. Step 5: Solve for x
    x = 25,564.09/132.72
  6. Step 6: Final answer
    x = 192.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.