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Finding the Fourth Proportional to 192, 288 and 106.50

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Solution

The fourth proportional to 192, 288 and 106.50 is: 159.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    192 : 288 = 106.50 : x
  2. Step 2: Convert to fraction form
    192/288 = 106.50/x
  3. Step 3: Cross multiply
    192x = 288 × 106.50
  4. Step 4: Simplify right side
    192x = 30,672
  5. Step 5: Solve for x
    x = 30,672/192
  6. Step 6: Final answer
    x = 159.75

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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.