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Finding the Fourth Proportional to 192.76, 289.08 and 161.92

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Solution

The fourth proportional to 192.76, 289.08 and 161.92 is: 242.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.76 : 289.08 = 161.92 : x
  2. Step 2: Convert to fraction form
    192.76/289.08 = 161.92/x
  3. Step 3: Cross multiply
    192.76x = 289.08 × 161.92
  4. Step 4: Simplify right side
    192.76x = 46,806.38
  5. Step 5: Solve for x
    x = 46,806.38/192.76
  6. Step 6: Final answer
    x = 242.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.