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Finding the Fourth Proportional to 273.86, 412.29 and 251.54

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Solution

The fourth proportional to 273.86, 412.29 and 251.54 is: 378.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.86 : 412.29 = 251.54 : x
  2. Step 2: Convert to fraction form
    273.86/412.29 = 251.54/x
  3. Step 3: Cross multiply
    273.86x = 412.29 × 251.54
  4. Step 4: Simplify right side
    273.86x = 103,707.43
  5. Step 5: Solve for x
    x = 103,707.43/273.86
  6. Step 6: Final answer
    x = 378.69

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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.