Home / 369-509.22-213.78

Finding the Fourth Proportional to 369, 509.22 and 213.78

Calculator

Solution

The fourth proportional to 369, 509.22 and 213.78 is: 295.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    369 : 509.22 = 213.78 : x
  2. Step 2: Convert to fraction form
    369/509.22 = 213.78/x
  3. Step 3: Cross multiply
    369x = 509.22 × 213.78
  4. Step 4: Simplify right side
    369x = 108,861.05
  5. Step 5: Solve for x
    x = 108,861.05/369
  6. Step 6: Final answer
    x = 295.02

Related Problems

Find fourth proportional to 184.50, 254.61 and 106.89
Half scale
Find fourth proportional to 738, 1,018.44 and 427.56
Double scale
Find fourth proportional to 370, 510.60 and 214.78
Similar ratio
Find fourth proportional to 553.50, 763.83 and 320.67
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.