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Finding the Fourth Proportional to 132.78, 200.32 and 126.03

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Solution

The fourth proportional to 132.78, 200.32 and 126.03 is: 190.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.78 : 200.32 = 126.03 : x
  2. Step 2: Convert to fraction form
    132.78/200.32 = 126.03/x
  3. Step 3: Cross multiply
    132.78x = 200.32 × 126.03
  4. Step 4: Simplify right side
    132.78x = 25,246.33
  5. Step 5: Solve for x
    x = 25,246.33/132.78
  6. Step 6: Final answer
    x = 190.14

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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.