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Finding the Fourth Proportional to 273.98, 410.60 and 209.54

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Solution

The fourth proportional to 273.98, 410.60 and 209.54 is: 314.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.98 : 410.60 = 209.54 : x
  2. Step 2: Convert to fraction form
    273.98/410.60 = 209.54/x
  3. Step 3: Cross multiply
    273.98x = 410.60 × 209.54
  4. Step 4: Simplify right side
    273.98x = 86,035.59
  5. Step 5: Solve for x
    x = 86,035.59/273.98
  6. Step 6: Final answer
    x = 314.03

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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.