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Finding the Fourth Proportional to 273.60, 408.16 and 241.60

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Solution

The fourth proportional to 273.60, 408.16 and 241.60 is: 360.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.60 : 408.16 = 241.60 : x
  2. Step 2: Convert to fraction form
    273.60/408.16 = 241.60/x
  3. Step 3: Cross multiply
    273.60x = 408.16 × 241.60
  4. Step 4: Simplify right side
    273.60x = 98,611.46
  5. Step 5: Solve for x
    x = 98,611.46/273.60
  6. Step 6: Final answer
    x = 360.42

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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.