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Finding the Fourth Proportional to 180.68, 249.01 and 131.47

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Solution

The fourth proportional to 180.68, 249.01 and 131.47 is: 181.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.68 : 249.01 = 131.47 : x
  2. Step 2: Convert to fraction form
    180.68/249.01 = 131.47/x
  3. Step 3: Cross multiply
    180.68x = 249.01 × 131.47
  4. Step 4: Simplify right side
    180.68x = 32,738.35
  5. Step 5: Solve for x
    x = 32,738.35/180.68
  6. Step 6: Final answer
    x = 181.19

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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.