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Finding the Fourth Proportional to 299.41, 413.18 and 175.08

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Solution

The fourth proportional to 299.41, 413.18 and 175.08 is: 241.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.41 : 413.18 = 175.08 : x
  2. Step 2: Convert to fraction form
    299.41/413.18 = 175.08/x
  3. Step 3: Cross multiply
    299.41x = 413.18 × 175.08
  4. Step 4: Simplify right side
    299.41x = 72,339.55
  5. Step 5: Solve for x
    x = 72,339.55/299.41
  6. Step 6: Final answer
    x = 241.61

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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.