Home / 300-413.82-201.72

Finding the Fourth Proportional to 300, 413.82 and 201.72

Calculator

Solution

The fourth proportional to 300, 413.82 and 201.72 is: 278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    300 : 413.82 = 201.72 : x
  2. Step 2: Convert to fraction form
    300/413.82 = 201.72/x
  3. Step 3: Cross multiply
    300x = 413.82 × 201.72
  4. Step 4: Simplify right side
    300x = 83,475.77
  5. Step 5: Solve for x
    x = 83,475.77/300
  6. Step 6: Final answer
    x = 278.25

Related Problems

Find fourth proportional to 150, 206.91 and 100.86
Half scale
Find fourth proportional to 600, 827.64 and 403.44
Double scale
Find fourth proportional to 301, 415.20 and 202.72
Similar ratio
Find fourth proportional to 450, 620.73 and 302.58
1.5x scale

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.