Home / 300.16-414.42-202.14

Finding the Fourth Proportional to 300.16, 414.42 and 202.14

Calculator

Solution

The fourth proportional to 300.16, 414.42 and 202.14 is: 279.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.16 : 414.42 = 202.14 : x
  2. Step 2: Convert to fraction form
    300.16/414.42 = 202.14/x
  3. Step 3: Cross multiply
    300.16x = 414.42 × 202.14
  4. Step 4: Simplify right side
    300.16x = 83,770.86
  5. Step 5: Solve for x
    x = 83,770.86/300.16
  6. Step 6: Final answer
    x = 279.09

Related Problems

Find fourth proportional to 150.08, 207.21 and 101.07
Half scale
Find fourth proportional to 600.32, 828.84 and 404.28
Double scale
Find fourth proportional to 301.16, 415.80 and 203.14
Similar ratio
Find fourth proportional to 450.24, 621.63 and 303.21
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.