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Finding the Fourth Proportional to 185.12, 254.72 and 166.37

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Solution

The fourth proportional to 185.12, 254.72 and 166.37 is: 228.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.12 : 254.72 = 166.37 : x
  2. Step 2: Convert to fraction form
    185.12/254.72 = 166.37/x
  3. Step 3: Cross multiply
    185.12x = 254.72 × 166.37
  4. Step 4: Simplify right side
    185.12x = 42,375.66
  5. Step 5: Solve for x
    x = 42,375.66/185.12
  6. Step 6: Final answer
    x = 228.92

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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.