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Finding the Fourth Proportional to 185.97, 277.62 and 161.67

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Solution

The fourth proportional to 185.97, 277.62 and 161.67 is: 241.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.97 : 277.62 = 161.67 : x
  2. Step 2: Convert to fraction form
    185.97/277.62 = 161.67/x
  3. Step 3: Cross multiply
    185.97x = 277.62 × 161.67
  4. Step 4: Simplify right side
    185.97x = 44,882.83
  5. Step 5: Solve for x
    x = 44,882.83/185.97
  6. Step 6: Final answer
    x = 241.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.