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Finding the Fourth Proportional to 192.28, 264.78 and 143.07

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Solution

The fourth proportional to 192.28, 264.78 and 143.07 is: 197.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.28 : 264.78 = 143.07 : x
  2. Step 2: Convert to fraction form
    192.28/264.78 = 143.07/x
  3. Step 3: Cross multiply
    192.28x = 264.78 × 143.07
  4. Step 4: Simplify right side
    192.28x = 37,882.07
  5. Step 5: Solve for x
    x = 37,882.07/192.28
  6. Step 6: Final answer
    x = 197.02

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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.