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Finding the Fourth Proportional to 299.35, 413.20 and 175.06

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Solution

The fourth proportional to 299.35, 413.20 and 175.06 is: 241.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.35 : 413.20 = 175.06 : x
  2. Step 2: Convert to fraction form
    299.35/413.20 = 175.06/x
  3. Step 3: Cross multiply
    299.35x = 413.20 × 175.06
  4. Step 4: Simplify right side
    299.35x = 72,334.79
  5. Step 5: Solve for x
    x = 72,334.79/299.35
  6. Step 6: Final answer
    x = 241.64

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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.