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Finding the Fourth Proportional to 293.50, 438.02 and 273.94

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Solution

The fourth proportional to 293.50, 438.02 and 273.94 is: 408.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.50 : 438.02 = 273.94 : x
  2. Step 2: Convert to fraction form
    293.50/438.02 = 273.94/x
  3. Step 3: Cross multiply
    293.50x = 438.02 × 273.94
  4. Step 4: Simplify right side
    293.50x = 119,991.20
  5. Step 5: Solve for x
    x = 119,991.20/293.50
  6. Step 6: Final answer
    x = 408.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.