Home / 138.24-207.18-106.20

Finding the Fourth Proportional to 138.24, 207.18 and 106.20

Calculator

Solution

The fourth proportional to 138.24, 207.18 and 106.20 is: 159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.24 : 207.18 = 106.20 : x
  2. Step 2: Convert to fraction form
    138.24/207.18 = 106.20/x
  3. Step 3: Cross multiply
    138.24x = 207.18 × 106.20
  4. Step 4: Simplify right side
    138.24x = 22,002.52
  5. Step 5: Solve for x
    x = 22,002.52/138.24
  6. Step 6: Final answer
    x = 159.16

Related Problems

Find fourth proportional to 69.12, 103.59 and 53.10
Half scale
Find fourth proportional to 276.48, 414.36 and 212.40
Double scale
Find fourth proportional to 139.24, 208.68 and 107.20
Similar ratio
Find fourth proportional to 207.36, 310.77 and 159.30
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.