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Finding the Fourth Proportional to 181.86, 273.96 and 168.48

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Solution

The fourth proportional to 181.86, 273.96 and 168.48 is: 253.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.86 : 273.96 = 168.48 : x
  2. Step 2: Convert to fraction form
    181.86/273.96 = 168.48/x
  3. Step 3: Cross multiply
    181.86x = 273.96 × 168.48
  4. Step 4: Simplify right side
    181.86x = 46,156.78
  5. Step 5: Solve for x
    x = 46,156.78/181.86
  6. Step 6: Final answer
    x = 253.80

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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.