Home / 400-600-172.16

Finding the Fourth Proportional to 400, 600 and 172.16

Calculator

Solution

The fourth proportional to 400, 600 and 172.16 is: 258.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    400 : 600 = 172.16 : x
  2. Step 2: Convert to fraction form
    400/600 = 172.16/x
  3. Step 3: Cross multiply
    400x = 600 × 172.16
  4. Step 4: Simplify right side
    400x = 103,296
  5. Step 5: Solve for x
    x = 103,296/400
  6. Step 6: Final answer
    x = 258.24

Related Problems

Find fourth proportional to 200, 300 and 86.08
Half scale
Find fourth proportional to 800, 1,200 and 344.32
Double scale
Find fourth proportional to 401, 601.50 and 173.16
Similar ratio
Find fourth proportional to 600, 900 and 258.24
1.5x scale

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.