Home / 213.06-294.18-164.32

Finding the Fourth Proportional to 213.06, 294.18 and 164.32

Calculator

Solution

The fourth proportional to 213.06, 294.18 and 164.32 is: 226.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.06 : 294.18 = 164.32 : x
  2. Step 2: Convert to fraction form
    213.06/294.18 = 164.32/x
  3. Step 3: Cross multiply
    213.06x = 294.18 × 164.32
  4. Step 4: Simplify right side
    213.06x = 48,339.66
  5. Step 5: Solve for x
    x = 48,339.66/213.06
  6. Step 6: Final answer
    x = 226.88

Related Problems

Find fourth proportional to 106.53, 147.09 and 82.16
Half scale
Find fourth proportional to 426.12, 588.36 and 328.64
Double scale
Find fourth proportional to 214.06, 295.56 and 165.32
Similar ratio
Find fourth proportional to 319.59, 441.27 and 246.48
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.