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Finding the Fourth Proportional to 185.82, 256.26 and 120.25

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Solution

The fourth proportional to 185.82, 256.26 and 120.25 is: 165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.82 : 256.26 = 120.25 : x
  2. Step 2: Convert to fraction form
    185.82/256.26 = 120.25/x
  3. Step 3: Cross multiply
    185.82x = 256.26 × 120.25
  4. Step 4: Simplify right side
    185.82x = 30,815.27
  5. Step 5: Solve for x
    x = 30,815.27/185.82
  6. Step 6: Final answer
    x = 165.83

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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.