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Finding the Fourth Proportional to 133.57, 200.34 and 110.89

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Solution

The fourth proportional to 133.57, 200.34 and 110.89 is: 166.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.57 : 200.34 = 110.89 : x
  2. Step 2: Convert to fraction form
    133.57/200.34 = 110.89/x
  3. Step 3: Cross multiply
    133.57x = 200.34 × 110.89
  4. Step 4: Simplify right side
    133.57x = 22,216.06
  5. Step 5: Solve for x
    x = 22,216.06/133.57
  6. Step 6: Final answer
    x = 166.32

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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.