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Finding the Fourth Proportional to 185.82, 279.96 and 150.60

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Solution

The fourth proportional to 185.82, 279.96 and 150.60 is: 226.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.82 : 279.96 = 150.60 : x
  2. Step 2: Convert to fraction form
    185.82/279.96 = 150.60/x
  3. Step 3: Cross multiply
    185.82x = 279.96 × 150.60
  4. Step 4: Simplify right side
    185.82x = 42,161.98
  5. Step 5: Solve for x
    x = 42,161.98/185.82
  6. Step 6: Final answer
    x = 226.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.