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Finding the Fourth Proportional to 185.26, 254.16 and 180.46

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Solution

The fourth proportional to 185.26, 254.16 and 180.46 is: 247.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.26 : 254.16 = 180.46 : x
  2. Step 2: Convert to fraction form
    185.26/254.16 = 180.46/x
  3. Step 3: Cross multiply
    185.26x = 254.16 × 180.46
  4. Step 4: Simplify right side
    185.26x = 45,866.80
  5. Step 5: Solve for x
    x = 45,866.80/185.26
  6. Step 6: Final answer
    x = 247.59

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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.