Home / 361.04-498.16-205.84

Finding the Fourth Proportional to 361.04, 498.16 and 205.84

Calculator

Solution

The fourth proportional to 361.04, 498.16 and 205.84 is: 284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.04 : 498.16 = 205.84 : x
  2. Step 2: Convert to fraction form
    361.04/498.16 = 205.84/x
  3. Step 3: Cross multiply
    361.04x = 498.16 × 205.84
  4. Step 4: Simplify right side
    361.04x = 102,541.25
  5. Step 5: Solve for x
    x = 102,541.25/361.04
  6. Step 6: Final answer
    x = 284.02

Related Problems

Find fourth proportional to 180.52, 249.08 and 102.92
Half scale
Find fourth proportional to 722.08, 996.32 and 411.68
Double scale
Find fourth proportional to 362.04, 499.54 and 206.84
Similar ratio
Find fourth proportional to 541.56, 747.24 and 308.76
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.