Home / 214.40-296.32-164.80

Finding the Fourth Proportional to 214.40, 296.32 and 164.80

Calculator

Solution

The fourth proportional to 214.40, 296.32 and 164.80 is: 227.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.40 : 296.32 = 164.80 : x
  2. Step 2: Convert to fraction form
    214.40/296.32 = 164.80/x
  3. Step 3: Cross multiply
    214.40x = 296.32 × 164.80
  4. Step 4: Simplify right side
    214.40x = 48,833.54
  5. Step 5: Solve for x
    x = 48,833.54/214.40
  6. Step 6: Final answer
    x = 227.77

Related Problems

Find fourth proportional to 107.20, 148.16 and 82.40
Half scale
Find fourth proportional to 428.80, 592.64 and 329.60
Double scale
Find fourth proportional to 215.40, 297.70 and 165.80
Similar ratio
Find fourth proportional to 321.60, 444.48 and 247.20
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.