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Finding the Fourth Proportional to 180.73, 249.10 and 141.31

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Solution

The fourth proportional to 180.73, 249.10 and 141.31 is: 194.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.73 : 249.10 = 141.31 : x
  2. Step 2: Convert to fraction form
    180.73/249.10 = 141.31/x
  3. Step 3: Cross multiply
    180.73x = 249.10 × 141.31
  4. Step 4: Simplify right side
    180.73x = 35,200.32
  5. Step 5: Solve for x
    x = 35,200.32/180.73
  6. Step 6: Final answer
    x = 194.77

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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.