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Finding the Fourth Proportional to 273.86, 411.04 and 127.69

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Solution

The fourth proportional to 273.86, 411.04 and 127.69 is: 191.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.86 : 411.04 = 127.69 : x
  2. Step 2: Convert to fraction form
    273.86/411.04 = 127.69/x
  3. Step 3: Cross multiply
    273.86x = 411.04 × 127.69
  4. Step 4: Simplify right side
    273.86x = 52,485.70
  5. Step 5: Solve for x
    x = 52,485.70/273.86
  6. Step 6: Final answer
    x = 191.65

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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.