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Finding the Fourth Proportional to 216.31, 298.52 and 138.73

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Solution

The fourth proportional to 216.31, 298.52 and 138.73 is: 191.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.31 : 298.52 = 138.73 : x
  2. Step 2: Convert to fraction form
    216.31/298.52 = 138.73/x
  3. Step 3: Cross multiply
    216.31x = 298.52 × 138.73
  4. Step 4: Simplify right side
    216.31x = 41,413.68
  5. Step 5: Solve for x
    x = 41,413.68/216.31
  6. Step 6: Final answer
    x = 191.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.