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Finding the Fourth Proportional to 275.63, 413.45 and 168.11

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Solution

The fourth proportional to 275.63, 413.45 and 168.11 is: 252.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.63 : 413.45 = 168.11 : x
  2. Step 2: Convert to fraction form
    275.63/413.45 = 168.11/x
  3. Step 3: Cross multiply
    275.63x = 413.45 × 168.11
  4. Step 4: Simplify right side
    275.63x = 69,503.43
  5. Step 5: Solve for x
    x = 69,503.43/275.63
  6. Step 6: Final answer
    x = 252.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.