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Finding the Fourth Proportional to 273.16, 409.80 and 119.13

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Solution

The fourth proportional to 273.16, 409.80 and 119.13 is: 178.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.16 : 409.80 = 119.13 : x
  2. Step 2: Convert to fraction form
    273.16/409.80 = 119.13/x
  3. Step 3: Cross multiply
    273.16x = 409.80 × 119.13
  4. Step 4: Simplify right side
    273.16x = 48,819.47
  5. Step 5: Solve for x
    x = 48,819.47/273.16
  6. Step 6: Final answer
    x = 178.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.