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Finding the Fourth Proportional to 193.84, 289.92 and 161.12

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Solution

The fourth proportional to 193.84, 289.92 and 161.12 is: 240.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.84 : 289.92 = 161.12 : x
  2. Step 2: Convert to fraction form
    193.84/289.92 = 161.12/x
  3. Step 3: Cross multiply
    193.84x = 289.92 × 161.12
  4. Step 4: Simplify right side
    193.84x = 46,711.91
  5. Step 5: Solve for x
    x = 46,711.91/193.84
  6. Step 6: Final answer
    x = 240.98

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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.