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Finding the Fourth Proportional to 192.21, 289.70 and 165.48

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Solution

The fourth proportional to 192.21, 289.70 and 165.48 is: 249.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.21 : 289.70 = 165.48 : x
  2. Step 2: Convert to fraction form
    192.21/289.70 = 165.48/x
  3. Step 3: Cross multiply
    192.21x = 289.70 × 165.48
  4. Step 4: Simplify right side
    192.21x = 47,939.97
  5. Step 5: Solve for x
    x = 47,939.97/192.21
  6. Step 6: Final answer
    x = 249.41

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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.