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Finding the Fourth Proportional to 192.10, 264.82 and 142.24

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Solution

The fourth proportional to 192.10, 264.82 and 142.24 is: 196.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.10 : 264.82 = 142.24 : x
  2. Step 2: Convert to fraction form
    192.10/264.82 = 142.24/x
  3. Step 3: Cross multiply
    192.10x = 264.82 × 142.24
  4. Step 4: Simplify right side
    192.10x = 37,668.00
  5. Step 5: Solve for x
    x = 37,668.00/192.10
  6. Step 6: Final answer
    x = 196.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.