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Finding the Fourth Proportional to 167.11, 230.49 and 120.64

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Solution

The fourth proportional to 167.11, 230.49 and 120.64 is: 166.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.11 : 230.49 = 120.64 : x
  2. Step 2: Convert to fraction form
    167.11/230.49 = 120.64/x
  3. Step 3: Cross multiply
    167.11x = 230.49 × 120.64
  4. Step 4: Simplify right side
    167.11x = 27,805.89
  5. Step 5: Solve for x
    x = 27,805.89/167.11
  6. Step 6: Final answer
    x = 166.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.