Home / 209.08-313.57-106.42

Finding the Fourth Proportional to 209.08, 313.57 and 106.42

Calculator

Solution

The fourth proportional to 209.08, 313.57 and 106.42 is: 159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.08 : 313.57 = 106.42 : x
  2. Step 2: Convert to fraction form
    209.08/313.57 = 106.42/x
  3. Step 3: Cross multiply
    209.08x = 313.57 × 106.42
  4. Step 4: Simplify right side
    209.08x = 33,370.12
  5. Step 5: Solve for x
    x = 33,370.12/209.08
  6. Step 6: Final answer
    x = 159.60

Related Problems

Find fourth proportional to 104.54, 156.79 and 53.21
Half scale
Find fourth proportional to 418.16, 627.14 and 212.84
Double scale
Find fourth proportional to 210.08, 315.07 and 107.42
Similar ratio
Find fourth proportional to 313.62, 470.36 and 159.63
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.