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Finding the Fourth Proportional to 185.70, 277.89 and 120.66

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Solution

The fourth proportional to 185.70, 277.89 and 120.66 is: 180.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.70 : 277.89 = 120.66 : x
  2. Step 2: Convert to fraction form
    185.70/277.89 = 120.66/x
  3. Step 3: Cross multiply
    185.70x = 277.89 × 120.66
  4. Step 4: Simplify right side
    185.70x = 33,530.21
  5. Step 5: Solve for x
    x = 33,530.21/185.70
  6. Step 6: Final answer
    x = 180.56

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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.