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Finding the Fourth Proportional to 299.26, 413.28 and 188.77

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Solution

The fourth proportional to 299.26, 413.28 and 188.77 is: 260.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.26 : 413.28 = 188.77 : x
  2. Step 2: Convert to fraction form
    299.26/413.28 = 188.77/x
  3. Step 3: Cross multiply
    299.26x = 413.28 × 188.77
  4. Step 4: Simplify right side
    299.26x = 78,014.87
  5. Step 5: Solve for x
    x = 78,014.87/299.26
  6. Step 6: Final answer
    x = 260.69

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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.