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Finding the Fourth Proportional to 133.26, 200.89 and 114.15

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Solution

The fourth proportional to 133.26, 200.89 and 114.15 is: 172.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.26 : 200.89 = 114.15 : x
  2. Step 2: Convert to fraction form
    133.26/200.89 = 114.15/x
  3. Step 3: Cross multiply
    133.26x = 200.89 × 114.15
  4. Step 4: Simplify right side
    133.26x = 22,932.49
  5. Step 5: Solve for x
    x = 22,932.49/133.26
  6. Step 6: Final answer
    x = 172.09

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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.