Home / 806.20-1,209.29-229.08

Finding the Fourth Proportional to 806.20, 1,209.29 and 229.08

Calculator

Solution

The fourth proportional to 806.20, 1,209.29 and 229.08 is: 343.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.20 : 1,209.29 = 229.08 : x
  2. Step 2: Convert to fraction form
    806.20/1,209.29 = 229.08/x
  3. Step 3: Cross multiply
    806.20x = 1,209.29 × 229.08
  4. Step 4: Simplify right side
    806.20x = 277,016.96
  5. Step 5: Solve for x
    x = 277,016.96/806.20
  6. Step 6: Final answer
    x = 343.61

Related Problems

Find fourth proportional to 403.10, 604.64 and 114.54
Half scale
Find fourth proportional to 1,612.40, 2,418.57 and 458.15
Double scale
Find fourth proportional to 807.20, 1,210.78 and 230.08
Similar ratio
Find fourth proportional to 1,209.30, 1,813.93 and 343.61
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.