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Finding the Fourth Proportional to 192.44, 265.56 and 105.11

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Solution

The fourth proportional to 192.44, 265.56 and 105.11 is: 145.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.44 : 265.56 = 105.11 : x
  2. Step 2: Convert to fraction form
    192.44/265.56 = 105.11/x
  3. Step 3: Cross multiply
    192.44x = 265.56 × 105.11
  4. Step 4: Simplify right side
    192.44x = 27,912.08
  5. Step 5: Solve for x
    x = 27,912.08/192.44
  6. Step 6: Final answer
    x = 145.05

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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.