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Finding the Fourth Proportional to 192.73, 288.89 and 89.98

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Solution

The fourth proportional to 192.73, 288.89 and 89.98 is: 134.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.73 : 288.89 = 89.98 : x
  2. Step 2: Convert to fraction form
    192.73/288.89 = 89.98/x
  3. Step 3: Cross multiply
    192.73x = 288.89 × 89.98
  4. Step 4: Simplify right side
    192.73x = 25,993.87
  5. Step 5: Solve for x
    x = 25,993.87/192.73
  6. Step 6: Final answer
    x = 134.88

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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.