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Finding the Fourth Proportional to 241.36, 363.26 and 180.80

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Solution

The fourth proportional to 241.36, 363.26 and 180.80 is: 272.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.36 : 363.26 = 180.80 : x
  2. Step 2: Convert to fraction form
    241.36/363.26 = 180.80/x
  3. Step 3: Cross multiply
    241.36x = 363.26 × 180.80
  4. Step 4: Simplify right side
    241.36x = 65,677.41
  5. Step 5: Solve for x
    x = 65,677.41/241.36
  6. Step 6: Final answer
    x = 272.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.