Home / 150.83-226.40-82.42

Finding the Fourth Proportional to 150.83, 226.40 and 82.42

Calculator

Solution

The fourth proportional to 150.83, 226.40 and 82.42 is: 123.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.83 : 226.40 = 82.42 : x
  2. Step 2: Convert to fraction form
    150.83/226.40 = 82.42/x
  3. Step 3: Cross multiply
    150.83x = 226.40 × 82.42
  4. Step 4: Simplify right side
    150.83x = 18,658.91
  5. Step 5: Solve for x
    x = 18,658.91/150.83
  6. Step 6: Final answer
    x = 123.71

Related Problems

Find fourth proportional to 75.41, 113.20 and 41.21
Half scale
Find fourth proportional to 301.66, 452.79 and 164.84
Double scale
Find fourth proportional to 151.83, 227.90 and 83.42
Similar ratio
Find fourth proportional to 226.24, 339.59 and 123.63
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.