Home / 361.63-542.31-199.09

Finding the Fourth Proportional to 361.63, 542.31 and 199.09

Calculator

Solution

The fourth proportional to 361.63, 542.31 and 199.09 is: 298.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.63 : 542.31 = 199.09 : x
  2. Step 2: Convert to fraction form
    361.63/542.31 = 199.09/x
  3. Step 3: Cross multiply
    361.63x = 542.31 × 199.09
  4. Step 4: Simplify right side
    361.63x = 107,968.50
  5. Step 5: Solve for x
    x = 107,968.50/361.63
  6. Step 6: Final answer
    x = 298.56

Related Problems

Find fourth proportional to 180.82, 271.16 and 99.55
Half scale
Find fourth proportional to 723.26, 1,084.62 and 398.18
Double scale
Find fourth proportional to 362.63, 543.81 and 200.09
Similar ratio
Find fourth proportional to 542.45, 813.47 and 298.64
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.