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Finding the Fourth Proportional to 300.06, 413.94 and 206.93

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Solution

The fourth proportional to 300.06, 413.94 and 206.93 is: 285.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.06 : 413.94 = 206.93 : x
  2. Step 2: Convert to fraction form
    300.06/413.94 = 206.93/x
  3. Step 3: Cross multiply
    300.06x = 413.94 × 206.93
  4. Step 4: Simplify right side
    300.06x = 85,657.64
  5. Step 5: Solve for x
    x = 85,657.64/300.06
  6. Step 6: Final answer
    x = 285.47

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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.