Home / 381.24-571.90-164.78

Finding the Fourth Proportional to 381.24, 571.90 and 164.78

Calculator

Solution

The fourth proportional to 381.24, 571.90 and 164.78 is: 247.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.24 : 571.90 = 164.78 : x
  2. Step 2: Convert to fraction form
    381.24/571.90 = 164.78/x
  3. Step 3: Cross multiply
    381.24x = 571.90 × 164.78
  4. Step 4: Simplify right side
    381.24x = 94,237.68
  5. Step 5: Solve for x
    x = 94,237.68/381.24
  6. Step 6: Final answer
    x = 247.19

Related Problems

Find fourth proportional to 190.62, 285.95 and 82.39
Half scale
Find fourth proportional to 762.48, 1,143.80 and 329.56
Double scale
Find fourth proportional to 382.24, 573.40 and 165.78
Similar ratio
Find fourth proportional to 571.86, 857.85 and 247.17
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.