Home / 164.07-226.33-105.75

Finding the Fourth Proportional to 164.07, 226.33 and 105.75

Calculator

Solution

The fourth proportional to 164.07, 226.33 and 105.75 is: 145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.07 : 226.33 = 105.75 : x
  2. Step 2: Convert to fraction form
    164.07/226.33 = 105.75/x
  3. Step 3: Cross multiply
    164.07x = 226.33 × 105.75
  4. Step 4: Simplify right side
    164.07x = 23,934.13
  5. Step 5: Solve for x
    x = 23,934.13/164.07
  6. Step 6: Final answer
    x = 145.88

Related Problems

Find fourth proportional to 82.04, 113.16 and 52.88
Half scale
Find fourth proportional to 328.14, 452.66 and 211.50
Double scale
Find fourth proportional to 165.07, 227.71 and 106.75
Similar ratio
Find fourth proportional to 246.11, 339.49 and 158.63
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.