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Finding the Fourth Proportional to 273.81, 409.01 and 204.96

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Solution

The fourth proportional to 273.81, 409.01 and 204.96 is: 306.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.81 : 409.01 = 204.96 : x
  2. Step 2: Convert to fraction form
    273.81/409.01 = 204.96/x
  3. Step 3: Cross multiply
    273.81x = 409.01 × 204.96
  4. Step 4: Simplify right side
    273.81x = 83,829.66
  5. Step 5: Solve for x
    x = 83,829.66/273.81
  6. Step 6: Final answer
    x = 306.16

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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.