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Finding the Fourth Proportional to 180.79, 249.56 and 137.23

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Solution

The fourth proportional to 180.79, 249.56 and 137.23 is: 189.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.79 : 249.56 = 137.23 : x
  2. Step 2: Convert to fraction form
    180.79/249.56 = 137.23/x
  3. Step 3: Cross multiply
    180.79x = 249.56 × 137.23
  4. Step 4: Simplify right side
    180.79x = 34,247.12
  5. Step 5: Solve for x
    x = 34,247.12/180.79
  6. Step 6: Final answer
    x = 189.43

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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.