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Finding the Fourth Proportional to 273.69, 409.97 and 127.57

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Solution

The fourth proportional to 273.69, 409.97 and 127.57 is: 191.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.69 : 409.97 = 127.57 : x
  2. Step 2: Convert to fraction form
    273.69/409.97 = 127.57/x
  3. Step 3: Cross multiply
    273.69x = 409.97 × 127.57
  4. Step 4: Simplify right side
    273.69x = 52,299.67
  5. Step 5: Solve for x
    x = 52,299.67/273.69
  6. Step 6: Final answer
    x = 191.09

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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.