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Finding the Fourth Proportional to 173.82, 241.37 and 172.38

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Solution

The fourth proportional to 173.82, 241.37 and 172.38 is: 239.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.82 : 241.37 = 172.38 : x
  2. Step 2: Convert to fraction form
    173.82/241.37 = 172.38/x
  3. Step 3: Cross multiply
    173.82x = 241.37 × 172.38
  4. Step 4: Simplify right side
    173.82x = 41,606.50
  5. Step 5: Solve for x
    x = 41,606.50/173.82
  6. Step 6: Final answer
    x = 239.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.