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Finding the Fourth Proportional to 133.12, 200.09 and 85.33

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Solution

The fourth proportional to 133.12, 200.09 and 85.33 is: 128.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.12 : 200.09 = 85.33 : x
  2. Step 2: Convert to fraction form
    133.12/200.09 = 85.33/x
  3. Step 3: Cross multiply
    133.12x = 200.09 × 85.33
  4. Step 4: Simplify right side
    133.12x = 17,072.75
  5. Step 5: Solve for x
    x = 17,072.75/133.12
  6. Step 6: Final answer
    x = 128.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.