Home / 280.16-419.76-219.36

Finding the Fourth Proportional to 280.16, 419.76 and 219.36

Calculator

Solution

The fourth proportional to 280.16, 419.76 and 219.36 is: 328.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.16 : 419.76 = 219.36 : x
  2. Step 2: Convert to fraction form
    280.16/419.76 = 219.36/x
  3. Step 3: Cross multiply
    280.16x = 419.76 × 219.36
  4. Step 4: Simplify right side
    280.16x = 92,078.55
  5. Step 5: Solve for x
    x = 92,078.55/280.16
  6. Step 6: Final answer
    x = 328.66

Related Problems

Find fourth proportional to 140.08, 209.88 and 109.68
Half scale
Find fourth proportional to 560.32, 839.52 and 438.72
Double scale
Find fourth proportional to 281.16, 421.26 and 220.36
Similar ratio
Find fourth proportional to 420.24, 629.64 and 329.04
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.