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Finding the Fourth Proportional to 166.87, 230.07 and 161.20

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Solution

The fourth proportional to 166.87, 230.07 and 161.20 is: 222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.87 : 230.07 = 161.20 : x
  2. Step 2: Convert to fraction form
    166.87/230.07 = 161.20/x
  3. Step 3: Cross multiply
    166.87x = 230.07 × 161.20
  4. Step 4: Simplify right side
    166.87x = 37,087.28
  5. Step 5: Solve for x
    x = 37,087.28/166.87
  6. Step 6: Final answer
    x = 222.25

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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.