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Finding the Fourth Proportional to 185.20, 254.20 and 177.28

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Solution

The fourth proportional to 185.20, 254.20 and 177.28 is: 243.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.20 : 254.20 = 177.28 : x
  2. Step 2: Convert to fraction form
    185.20/254.20 = 177.28/x
  3. Step 3: Cross multiply
    185.20x = 254.20 × 177.28
  4. Step 4: Simplify right side
    185.20x = 45,064.58
  5. Step 5: Solve for x
    x = 45,064.58/185.20
  6. Step 6: Final answer
    x = 243.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.