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Finding the Fourth Proportional to 132.78, 200.25 and 128.46

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Solution

The fourth proportional to 132.78, 200.25 and 128.46 is: 193.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.78 : 200.25 = 128.46 : x
  2. Step 2: Convert to fraction form
    132.78/200.25 = 128.46/x
  3. Step 3: Cross multiply
    132.78x = 200.25 × 128.46
  4. Step 4: Simplify right side
    132.78x = 25,724.12
  5. Step 5: Solve for x
    x = 25,724.12/132.78
  6. Step 6: Final answer
    x = 193.73

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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.