Home / 197.78-296.68-82.20

Finding the Fourth Proportional to 197.78, 296.68 and 82.20

Calculator

Solution

The fourth proportional to 197.78, 296.68 and 82.20 is: 123.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.78 : 296.68 = 82.20 : x
  2. Step 2: Convert to fraction form
    197.78/296.68 = 82.20/x
  3. Step 3: Cross multiply
    197.78x = 296.68 × 82.20
  4. Step 4: Simplify right side
    197.78x = 24,386.49
  5. Step 5: Solve for x
    x = 24,386.49/197.78
  6. Step 6: Final answer
    x = 123.30

Related Problems

Find fourth proportional to 98.89, 148.34 and 41.10
Half scale
Find fourth proportional to 395.57, 593.36 and 164.40
Double scale
Find fourth proportional to 198.78, 298.18 and 83.20
Similar ratio
Find fourth proportional to 296.68, 445.02 and 123.30
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.