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Finding the Fourth Proportional to 231.27, 318.94 and 180.80

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Solution

The fourth proportional to 231.27, 318.94 and 180.80 is: 249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.27 : 318.94 = 180.80 : x
  2. Step 2: Convert to fraction form
    231.27/318.94 = 180.80/x
  3. Step 3: Cross multiply
    231.27x = 318.94 × 180.80
  4. Step 4: Simplify right side
    231.27x = 57,665.49
  5. Step 5: Solve for x
    x = 57,665.49/231.27
  6. Step 6: Final answer
    x = 249.34

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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.