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Finding the Fourth Proportional to 273.70, 413.52 and 271.27

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Solution

The fourth proportional to 273.70, 413.52 and 271.27 is: 409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.70 : 413.52 = 271.27 : x
  2. Step 2: Convert to fraction form
    273.70/413.52 = 271.27/x
  3. Step 3: Cross multiply
    273.70x = 413.52 × 271.27
  4. Step 4: Simplify right side
    273.70x = 112,174.27
  5. Step 5: Solve for x
    x = 112,174.27/273.70
  6. Step 6: Final answer
    x = 409.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.