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Finding the Fourth Proportional to 299.32, 413.21 and 188.95

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Solution

The fourth proportional to 299.32, 413.21 and 188.95 is: 260.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.32 : 413.21 = 188.95 : x
  2. Step 2: Convert to fraction form
    299.32/413.21 = 188.95/x
  3. Step 3: Cross multiply
    299.32x = 413.21 × 188.95
  4. Step 4: Simplify right side
    299.32x = 78,076.03
  5. Step 5: Solve for x
    x = 78,076.03/299.32
  6. Step 6: Final answer
    x = 260.84

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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.