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Finding the Fourth Proportional to 366.74, 505.91 and 273.19

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Solution

The fourth proportional to 366.74, 505.91 and 273.19 is: 376.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.74 : 505.91 = 273.19 : x
  2. Step 2: Convert to fraction form
    366.74/505.91 = 273.19/x
  3. Step 3: Cross multiply
    366.74x = 505.91 × 273.19
  4. Step 4: Simplify right side
    366.74x = 138,208.97
  5. Step 5: Solve for x
    x = 138,208.97/366.74
  6. Step 6: Final answer
    x = 376.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.