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Finding the Fourth Proportional to 300.13, 413.67 and 211.63

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Solution

The fourth proportional to 300.13, 413.67 and 211.63 is: 291.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.13 : 413.67 = 211.63 : x
  2. Step 2: Convert to fraction form
    300.13/413.67 = 211.63/x
  3. Step 3: Cross multiply
    300.13x = 413.67 × 211.63
  4. Step 4: Simplify right side
    300.13x = 87,544.98
  5. Step 5: Solve for x
    x = 87,544.98/300.13
  6. Step 6: Final answer
    x = 291.69

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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.