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Finding the Fourth Proportional to 180.50, 249.14 and 121.57

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Solution

The fourth proportional to 180.50, 249.14 and 121.57 is: 167.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.50 : 249.14 = 121.57 : x
  2. Step 2: Convert to fraction form
    180.50/249.14 = 121.57/x
  3. Step 3: Cross multiply
    180.50x = 249.14 × 121.57
  4. Step 4: Simplify right side
    180.50x = 30,287.63
  5. Step 5: Solve for x
    x = 30,287.63/180.50
  6. Step 6: Final answer
    x = 167.80

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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.