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Finding the Fourth Proportional to 273.34, 409.84 and 134.24

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Solution

The fourth proportional to 273.34, 409.84 and 134.24 is: 201.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.34 : 409.84 = 134.24 : x
  2. Step 2: Convert to fraction form
    273.34/409.84 = 134.24/x
  3. Step 3: Cross multiply
    273.34x = 409.84 × 134.24
  4. Step 4: Simplify right side
    273.34x = 55,016.92
  5. Step 5: Solve for x
    x = 55,016.92/273.34
  6. Step 6: Final answer
    x = 201.28

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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.