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Finding the Fourth Proportional to 275.35, 413.14 and 138.43

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Solution

The fourth proportional to 275.35, 413.14 and 138.43 is: 207.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.35 : 413.14 = 138.43 : x
  2. Step 2: Convert to fraction form
    275.35/413.14 = 138.43/x
  3. Step 3: Cross multiply
    275.35x = 413.14 × 138.43
  4. Step 4: Simplify right side
    275.35x = 57,192.37
  5. Step 5: Solve for x
    x = 57,192.37/275.35
  6. Step 6: Final answer
    x = 207.71

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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.