Home / 298.49-413.62-280.22

Finding the Fourth Proportional to 298.49, 413.62 and 280.22

Calculator

Solution

The fourth proportional to 298.49, 413.62 and 280.22 is: 388.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.49 : 413.62 = 280.22 : x
  2. Step 2: Convert to fraction form
    298.49/413.62 = 280.22/x
  3. Step 3: Cross multiply
    298.49x = 413.62 × 280.22
  4. Step 4: Simplify right side
    298.49x = 115,903.20
  5. Step 5: Solve for x
    x = 115,903.20/298.49
  6. Step 6: Final answer
    x = 388.30

Related Problems

Find fourth proportional to 149.25, 206.81 and 140.11
Half scale
Find fourth proportional to 596.98, 827.23 and 560.44
Double scale
Find fourth proportional to 299.49, 415 and 281.22
Similar ratio
Find fourth proportional to 447.74, 620.42 and 420.33
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.