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Finding the Fourth Proportional to 299.98, 413.96 and 175.66

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Solution

The fourth proportional to 299.98, 413.96 and 175.66 is: 242.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.98 : 413.96 = 175.66 : x
  2. Step 2: Convert to fraction form
    299.98/413.96 = 175.66/x
  3. Step 3: Cross multiply
    299.98x = 413.96 × 175.66
  4. Step 4: Simplify right side
    299.98x = 72,716.21
  5. Step 5: Solve for x
    x = 72,716.21/299.98
  6. Step 6: Final answer
    x = 242.40

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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.