Home / 161.28-222.72-120

Finding the Fourth Proportional to 161.28, 222.72 and 120

Calculator

Solution

The fourth proportional to 161.28, 222.72 and 120 is: 165.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.28 : 222.72 = 120 : x
  2. Step 2: Convert to fraction form
    161.28/222.72 = 120/x
  3. Step 3: Cross multiply
    161.28x = 222.72 × 120
  4. Step 4: Simplify right side
    161.28x = 26,726.40
  5. Step 5: Solve for x
    x = 26,726.40/161.28
  6. Step 6: Final answer
    x = 165.71

Related Problems

Find fourth proportional to 80.64, 111.36 and 60
Half scale
Find fourth proportional to 322.56, 445.44 and 240
Double scale
Find fourth proportional to 162.28, 224.10 and 121
Similar ratio
Find fourth proportional to 241.92, 334.08 and 180
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.