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Finding the Fourth Proportional to 185.95, 256.60 and 120.49

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Solution

The fourth proportional to 185.95, 256.60 and 120.49 is: 166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.95 : 256.60 = 120.49 : x
  2. Step 2: Convert to fraction form
    185.95/256.60 = 120.49/x
  3. Step 3: Cross multiply
    185.95x = 256.60 × 120.49
  4. Step 4: Simplify right side
    185.95x = 30,917.73
  5. Step 5: Solve for x
    x = 30,917.73/185.95
  6. Step 6: Final answer
    x = 166.27

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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.