Home / 446.09-669.02-172.20

Finding the Fourth Proportional to 446.09, 669.02 and 172.20

Calculator

Solution

The fourth proportional to 446.09, 669.02 and 172.20 is: 258.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.09 : 669.02 = 172.20 : x
  2. Step 2: Convert to fraction form
    446.09/669.02 = 172.20/x
  3. Step 3: Cross multiply
    446.09x = 669.02 × 172.20
  4. Step 4: Simplify right side
    446.09x = 115,204.38
  5. Step 5: Solve for x
    x = 115,204.38/446.09
  6. Step 6: Final answer
    x = 258.26

Related Problems

Find fourth proportional to 223.04, 334.51 and 86.10
Half scale
Find fourth proportional to 892.17, 1,338.03 and 344.40
Double scale
Find fourth proportional to 447.09, 670.51 and 173.20
Similar ratio
Find fourth proportional to 669.13, 1,003.52 and 258.30
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.