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Finding the Fourth Proportional to 275.53, 413.30 and 80.55

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Solution

The fourth proportional to 275.53, 413.30 and 80.55 is: 120.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.53 : 413.30 = 80.55 : x
  2. Step 2: Convert to fraction form
    275.53/413.30 = 80.55/x
  3. Step 3: Cross multiply
    275.53x = 413.30 × 80.55
  4. Step 4: Simplify right side
    275.53x = 33,289.25
  5. Step 5: Solve for x
    x = 33,289.25/275.53
  6. Step 6: Final answer
    x = 120.82

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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.