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Finding the Fourth Proportional to 185.82, 256.42 and 108.20

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Solution

The fourth proportional to 185.82, 256.42 and 108.20 is: 149.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.82 : 256.42 = 108.20 : x
  2. Step 2: Convert to fraction form
    185.82/256.42 = 108.20/x
  3. Step 3: Cross multiply
    185.82x = 256.42 × 108.20
  4. Step 4: Simplify right side
    185.82x = 27,744.64
  5. Step 5: Solve for x
    x = 27,744.64/185.82
  6. Step 6: Final answer
    x = 149.31

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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.