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Finding the Fourth Proportional to 180.61, 249.16 and 118.42

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Solution

The fourth proportional to 180.61, 249.16 and 118.42 is: 163.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.61 : 249.16 = 118.42 : x
  2. Step 2: Convert to fraction form
    180.61/249.16 = 118.42/x
  3. Step 3: Cross multiply
    180.61x = 249.16 × 118.42
  4. Step 4: Simplify right side
    180.61x = 29,505.53
  5. Step 5: Solve for x
    x = 29,505.53/180.61
  6. Step 6: Final answer
    x = 163.37

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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.