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Finding the Fourth Proportional to 299.85, 413.78 and 165.26

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Solution

The fourth proportional to 299.85, 413.78 and 165.26 is: 228.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.85 : 413.78 = 165.26 : x
  2. Step 2: Convert to fraction form
    299.85/413.78 = 165.26/x
  3. Step 3: Cross multiply
    299.85x = 413.78 × 165.26
  4. Step 4: Simplify right side
    299.85x = 68,381.28
  5. Step 5: Solve for x
    x = 68,381.28/299.85
  6. Step 6: Final answer
    x = 228.05

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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.