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Finding the Fourth Proportional to 192.69, 287.78 and 154.23

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Solution

The fourth proportional to 192.69, 287.78 and 154.23 is: 230.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.69 : 287.78 = 154.23 : x
  2. Step 2: Convert to fraction form
    192.69/287.78 = 154.23/x
  3. Step 3: Cross multiply
    192.69x = 287.78 × 154.23
  4. Step 4: Simplify right side
    192.69x = 44,383.54
  5. Step 5: Solve for x
    x = 44,383.54/192.69
  6. Step 6: Final answer
    x = 230.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.