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Finding the Fourth Proportional to 192.54, 289.97 and 144.78

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Solution

The fourth proportional to 192.54, 289.97 and 144.78 is: 218.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.54 : 289.97 = 144.78 : x
  2. Step 2: Convert to fraction form
    192.54/289.97 = 144.78/x
  3. Step 3: Cross multiply
    192.54x = 289.97 × 144.78
  4. Step 4: Simplify right side
    192.54x = 41,981.13
  5. Step 5: Solve for x
    x = 41,981.13/192.54
  6. Step 6: Final answer
    x = 218.04

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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.