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Finding the Fourth Proportional to 185.51, 254.51 and 180.72

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Solution

The fourth proportional to 185.51, 254.51 and 180.72 is: 247.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.51 : 254.51 = 180.72 : x
  2. Step 2: Convert to fraction form
    185.51/254.51 = 180.72/x
  3. Step 3: Cross multiply
    185.51x = 254.51 × 180.72
  4. Step 4: Simplify right side
    185.51x = 45,995.05
  5. Step 5: Solve for x
    x = 45,995.05/185.51
  6. Step 6: Final answer
    x = 247.94

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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.