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Finding the Fourth Proportional to 273.39, 409.85 and 119.20

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Solution

The fourth proportional to 273.39, 409.85 and 119.20 is: 178.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.39 : 409.85 = 119.20 : x
  2. Step 2: Convert to fraction form
    273.39/409.85 = 119.20/x
  3. Step 3: Cross multiply
    273.39x = 409.85 × 119.20
  4. Step 4: Simplify right side
    273.39x = 48,852.90
  5. Step 5: Solve for x
    x = 48,852.90/273.39
  6. Step 6: Final answer
    x = 178.69

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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.