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Finding the Fourth Proportional to 192.56, 290.25 and 181.41

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Solution

The fourth proportional to 192.56, 290.25 and 181.41 is: 273.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.56 : 290.25 = 181.41 : x
  2. Step 2: Convert to fraction form
    192.56/290.25 = 181.41/x
  3. Step 3: Cross multiply
    192.56x = 290.25 × 181.41
  4. Step 4: Simplify right side
    192.56x = 52,654.25
  5. Step 5: Solve for x
    x = 52,654.25/192.56
  6. Step 6: Final answer
    x = 273.45

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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.