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Finding the Fourth Proportional to 192, 289.44 and 189.12

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Solution

The fourth proportional to 192, 289.44 and 189.12 is: 285.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    192 : 289.44 = 189.12 : x
  2. Step 2: Convert to fraction form
    192/289.44 = 189.12/x
  3. Step 3: Cross multiply
    192x = 289.44 × 189.12
  4. Step 4: Simplify right side
    192x = 54,738.89
  5. Step 5: Solve for x
    x = 54,738.89/192
  6. Step 6: Final answer
    x = 285.10

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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.