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Finding the Fourth Proportional to 180.70, 249.15 and 141.28

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Solution

The fourth proportional to 180.70, 249.15 and 141.28 is: 194.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.70 : 249.15 = 141.28 : x
  2. Step 2: Convert to fraction form
    180.70/249.15 = 141.28/x
  3. Step 3: Cross multiply
    180.70x = 249.15 × 141.28
  4. Step 4: Simplify right side
    180.70x = 35,199.91
  5. Step 5: Solve for x
    x = 35,199.91/180.70
  6. Step 6: Final answer
    x = 194.80

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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.