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Finding the Fourth Proportional to 192.88, 287.96 and 181.28

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Solution

The fourth proportional to 192.88, 287.96 and 181.28 is: 270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.88 : 287.96 = 181.28 : x
  2. Step 2: Convert to fraction form
    192.88/287.96 = 181.28/x
  3. Step 3: Cross multiply
    192.88x = 287.96 × 181.28
  4. Step 4: Simplify right side
    192.88x = 52,201.39
  5. Step 5: Solve for x
    x = 52,201.39/192.88
  6. Step 6: Final answer
    x = 270.64

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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.