Home / 149.82-206.82-111

Finding the Fourth Proportional to 149.82, 206.82 and 111

Calculator

Solution

The fourth proportional to 149.82, 206.82 and 111 is: 153.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.82 : 206.82 = 111 : x
  2. Step 2: Convert to fraction form
    149.82/206.82 = 111/x
  3. Step 3: Cross multiply
    149.82x = 206.82 × 111
  4. Step 4: Simplify right side
    149.82x = 22,957.02
  5. Step 5: Solve for x
    x = 22,957.02/149.82
  6. Step 6: Final answer
    x = 153.23

Related Problems

Find fourth proportional to 74.91, 103.41 and 55.50
Half scale
Find fourth proportional to 299.64, 413.64 and 222
Double scale
Find fourth proportional to 150.82, 208.20 and 112
Similar ratio
Find fourth proportional to 224.73, 310.23 and 166.50
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.