Home / 185.82-256.30-120.40

Finding the Fourth Proportional to 185.82, 256.30 and 120.40

Calculator

Solution

The fourth proportional to 185.82, 256.30 and 120.40 is: 166.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.82 : 256.30 = 120.40 : x
  2. Step 2: Convert to fraction form
    185.82/256.30 = 120.40/x
  3. Step 3: Cross multiply
    185.82x = 256.30 × 120.40
  4. Step 4: Simplify right side
    185.82x = 30,858.52
  5. Step 5: Solve for x
    x = 30,858.52/185.82
  6. Step 6: Final answer
    x = 166.07

Related Problems

Find fourth proportional to 92.91, 128.15 and 60.20
Half scale
Find fourth proportional to 371.64, 512.60 and 240.80
Double scale
Find fourth proportional to 186.82, 257.68 and 121.40
Similar ratio
Find fourth proportional to 278.73, 384.45 and 180.60
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.