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Finding the Fourth Proportional to 299.94, 413.64 and 189.24

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Solution

The fourth proportional to 299.94, 413.64 and 189.24 is: 260.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.94 : 413.64 = 189.24 : x
  2. Step 2: Convert to fraction form
    299.94/413.64 = 189.24/x
  3. Step 3: Cross multiply
    299.94x = 413.64 × 189.24
  4. Step 4: Simplify right side
    299.94x = 78,277.23
  5. Step 5: Solve for x
    x = 78,277.23/299.94
  6. Step 6: Final answer
    x = 260.98

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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.