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Finding the Fourth Proportional to 273.86, 410.71 and 119.75

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Solution

The fourth proportional to 273.86, 410.71 and 119.75 is: 179.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.86 : 410.71 = 119.75 : x
  2. Step 2: Convert to fraction form
    273.86/410.71 = 119.75/x
  3. Step 3: Cross multiply
    273.86x = 410.71 × 119.75
  4. Step 4: Simplify right side
    273.86x = 49,182.52
  5. Step 5: Solve for x
    x = 49,182.52/273.86
  6. Step 6: Final answer
    x = 179.59

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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.