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Finding the Fourth Proportional to 192.14, 289.30 and 165.72

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Solution

The fourth proportional to 192.14, 289.30 and 165.72 is: 249.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.14 : 289.30 = 165.72 : x
  2. Step 2: Convert to fraction form
    192.14/289.30 = 165.72/x
  3. Step 3: Cross multiply
    192.14x = 289.30 × 165.72
  4. Step 4: Simplify right side
    192.14x = 47,942.80
  5. Step 5: Solve for x
    x = 47,942.80/192.14
  6. Step 6: Final answer
    x = 249.52

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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.