Home / 225.72-311.22-206.28

Finding the Fourth Proportional to 225.72, 311.22 and 206.28

Calculator

Solution

The fourth proportional to 225.72, 311.22 and 206.28 is: 284.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.72 : 311.22 = 206.28 : x
  2. Step 2: Convert to fraction form
    225.72/311.22 = 206.28/x
  3. Step 3: Cross multiply
    225.72x = 311.22 × 206.28
  4. Step 4: Simplify right side
    225.72x = 64,198.46
  5. Step 5: Solve for x
    x = 64,198.46/225.72
  6. Step 6: Final answer
    x = 284.42

Related Problems

Find fourth proportional to 112.86, 155.61 and 103.14
Half scale
Find fourth proportional to 451.44, 622.44 and 412.56
Double scale
Find fourth proportional to 226.72, 312.60 and 207.28
Similar ratio
Find fourth proportional to 338.58, 466.83 and 309.42
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.