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Finding the Fourth Proportional to 192.43, 290.07 and 181.28

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Solution

The fourth proportional to 192.43, 290.07 and 181.28 is: 273.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.43 : 290.07 = 181.28 : x
  2. Step 2: Convert to fraction form
    192.43/290.07 = 181.28/x
  3. Step 3: Cross multiply
    192.43x = 290.07 × 181.28
  4. Step 4: Simplify right side
    192.43x = 52,583.89
  5. Step 5: Solve for x
    x = 52,583.89/192.43
  6. Step 6: Final answer
    x = 273.26

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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.