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Finding the Fourth Proportional to 293.87, 405.39 and 273.03

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Solution

The fourth proportional to 293.87, 405.39 and 273.03 is: 376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.87 : 405.39 = 273.03 : x
  2. Step 2: Convert to fraction form
    293.87/405.39 = 273.03/x
  3. Step 3: Cross multiply
    293.87x = 405.39 × 273.03
  4. Step 4: Simplify right side
    293.87x = 110,683.63
  5. Step 5: Solve for x
    x = 110,683.63/293.87
  6. Step 6: Final answer
    x = 376.64

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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.