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Finding the Fourth Proportional to 185.55, 255.20 and 166.11

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Solution

The fourth proportional to 185.55, 255.20 and 166.11 is: 228.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.55 : 255.20 = 166.11 : x
  2. Step 2: Convert to fraction form
    185.55/255.20 = 166.11/x
  3. Step 3: Cross multiply
    185.55x = 255.20 × 166.11
  4. Step 4: Simplify right side
    185.55x = 42,390.44
  5. Step 5: Solve for x
    x = 42,390.44/185.55
  6. Step 6: Final answer
    x = 228.46

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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.