Home / 166.80-249.96-105.78

Finding the Fourth Proportional to 166.80, 249.96 and 105.78

Calculator

Solution

The fourth proportional to 166.80, 249.96 and 105.78 is: 158.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.80 : 249.96 = 105.78 : x
  2. Step 2: Convert to fraction form
    166.80/249.96 = 105.78/x
  3. Step 3: Cross multiply
    166.80x = 249.96 × 105.78
  4. Step 4: Simplify right side
    166.80x = 26,440.77
  5. Step 5: Solve for x
    x = 26,440.77/166.80
  6. Step 6: Final answer
    x = 158.52

Related Problems

Find fourth proportional to 83.40, 124.98 and 52.89
Half scale
Find fourth proportional to 333.60, 499.92 and 211.56
Double scale
Find fourth proportional to 167.80, 251.46 and 106.78
Similar ratio
Find fourth proportional to 250.20, 374.94 and 158.67
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.