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Finding the Fourth Proportional to 192.72, 290.70 and 181.50

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Solution

The fourth proportional to 192.72, 290.70 and 181.50 is: 273.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.72 : 290.70 = 181.50 : x
  2. Step 2: Convert to fraction form
    192.72/290.70 = 181.50/x
  3. Step 3: Cross multiply
    192.72x = 290.70 × 181.50
  4. Step 4: Simplify right side
    192.72x = 52,762.05
  5. Step 5: Solve for x
    x = 52,762.05/192.72
  6. Step 6: Final answer
    x = 273.78

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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.