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Finding the Fourth Proportional to 133.29, 200.82 and 110.96

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Solution

The fourth proportional to 133.29, 200.82 and 110.96 is: 167.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.29 : 200.82 = 110.96 : x
  2. Step 2: Convert to fraction form
    133.29/200.82 = 110.96/x
  3. Step 3: Cross multiply
    133.29x = 200.82 × 110.96
  4. Step 4: Simplify right side
    133.29x = 22,281.98
  5. Step 5: Solve for x
    x = 22,281.98/133.29
  6. Step 6: Final answer
    x = 167.17

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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.