Home / 202.05-302.94-120.78

Finding the Fourth Proportional to 202.05, 302.94 and 120.78

Calculator

Solution

The fourth proportional to 202.05, 302.94 and 120.78 is: 181.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.05 : 302.94 = 120.78 : x
  2. Step 2: Convert to fraction form
    202.05/302.94 = 120.78/x
  3. Step 3: Cross multiply
    202.05x = 302.94 × 120.78
  4. Step 4: Simplify right side
    202.05x = 36,589.09
  5. Step 5: Solve for x
    x = 36,589.09/202.05
  6. Step 6: Final answer
    x = 181.09

Related Problems

Find fourth proportional to 101.03, 151.47 and 60.39
Half scale
Find fourth proportional to 404.10, 605.88 and 241.56
Double scale
Find fourth proportional to 203.05, 304.44 and 121.78
Similar ratio
Find fourth proportional to 303.08, 454.41 and 181.17
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.