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Finding the Fourth Proportional to 299.43, 413.07 and 175.07

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Solution

The fourth proportional to 299.43, 413.07 and 175.07 is: 241.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.43 : 413.07 = 175.07 : x
  2. Step 2: Convert to fraction form
    299.43/413.07 = 175.07/x
  3. Step 3: Cross multiply
    299.43x = 413.07 × 175.07
  4. Step 4: Simplify right side
    299.43x = 72,314.88
  5. Step 5: Solve for x
    x = 72,314.88/299.43
  6. Step 6: Final answer
    x = 241.51

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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.