Home / 164.20-226.62-106

Finding the Fourth Proportional to 164.20, 226.62 and 106

Calculator

Solution

The fourth proportional to 164.20, 226.62 and 106 is: 146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.20 : 226.62 = 106 : x
  2. Step 2: Convert to fraction form
    164.20/226.62 = 106/x
  3. Step 3: Cross multiply
    164.20x = 226.62 × 106
  4. Step 4: Simplify right side
    164.20x = 24,021.72
  5. Step 5: Solve for x
    x = 24,021.72/164.20
  6. Step 6: Final answer
    x = 146.30

Related Problems

Find fourth proportional to 82.10, 113.31 and 53
Half scale
Find fourth proportional to 328.40, 453.24 and 212
Double scale
Find fourth proportional to 165.20, 228 and 107
Similar ratio
Find fourth proportional to 246.30, 339.93 and 159
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.