Home / 167.80-231.67-105.66

Finding the Fourth Proportional to 167.80, 231.67 and 105.66

Calculator

Solution

The fourth proportional to 167.80, 231.67 and 105.66 is: 145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.80 : 231.67 = 105.66 : x
  2. Step 2: Convert to fraction form
    167.80/231.67 = 105.66/x
  3. Step 3: Cross multiply
    167.80x = 231.67 × 105.66
  4. Step 4: Simplify right side
    167.80x = 24,478.25
  5. Step 5: Solve for x
    x = 24,478.25/167.80
  6. Step 6: Final answer
    x = 145.88

Related Problems

Find fourth proportional to 83.90, 115.84 and 52.83
Half scale
Find fourth proportional to 335.60, 463.34 and 211.32
Double scale
Find fourth proportional to 168.80, 233.05 and 106.66
Similar ratio
Find fourth proportional to 251.70, 347.51 and 158.49
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.