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Finding the Fourth Proportional to 192.36, 287.94 and 119.88

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Solution

The fourth proportional to 192.36, 287.94 and 119.88 is: 179.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.36 : 287.94 = 119.88 : x
  2. Step 2: Convert to fraction form
    192.36/287.94 = 119.88/x
  3. Step 3: Cross multiply
    192.36x = 287.94 × 119.88
  4. Step 4: Simplify right side
    192.36x = 34,518.25
  5. Step 5: Solve for x
    x = 34,518.25/192.36
  6. Step 6: Final answer
    x = 179.45

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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.