Home / 298.64-412.26-199.10

Finding the Fourth Proportional to 298.64, 412.26 and 199.10

Calculator

Solution

The fourth proportional to 298.64, 412.26 and 199.10 is: 274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.64 : 412.26 = 199.10 : x
  2. Step 2: Convert to fraction form
    298.64/412.26 = 199.10/x
  3. Step 3: Cross multiply
    298.64x = 412.26 × 199.10
  4. Step 4: Simplify right side
    298.64x = 82,080.97
  5. Step 5: Solve for x
    x = 82,080.97/298.64
  6. Step 6: Final answer
    x = 274.85

Related Problems

Find fourth proportional to 149.32, 206.13 and 99.55
Half scale
Find fourth proportional to 597.28, 824.52 and 398.20
Double scale
Find fourth proportional to 299.64, 413.64 and 200.10
Similar ratio
Find fourth proportional to 447.96, 618.39 and 298.65
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.