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Finding the Fourth Proportional to 192.13, 287.78 and 181.48

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Solution

The fourth proportional to 192.13, 287.78 and 181.48 is: 271.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.13 : 287.78 = 181.48 : x
  2. Step 2: Convert to fraction form
    192.13/287.78 = 181.48/x
  3. Step 3: Cross multiply
    192.13x = 287.78 × 181.48
  4. Step 4: Simplify right side
    192.13x = 52,226.31
  5. Step 5: Solve for x
    x = 52,226.31/192.13
  6. Step 6: Final answer
    x = 271.83

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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.