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Finding the Fourth Proportional to 299.64, 413.40 and 189.07

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Solution

The fourth proportional to 299.64, 413.40 and 189.07 is: 260.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.64 : 413.40 = 189.07 : x
  2. Step 2: Convert to fraction form
    299.64/413.40 = 189.07/x
  3. Step 3: Cross multiply
    299.64x = 413.40 × 189.07
  4. Step 4: Simplify right side
    299.64x = 78,161.54
  5. Step 5: Solve for x
    x = 78,161.54/299.64
  6. Step 6: Final answer
    x = 260.85

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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.