Home / 397.57-596.39-109

Finding the Fourth Proportional to 397.57, 596.39 and 109

Calculator

Solution

The fourth proportional to 397.57, 596.39 and 109 is: 163.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.57 : 596.39 = 109 : x
  2. Step 2: Convert to fraction form
    397.57/596.39 = 109/x
  3. Step 3: Cross multiply
    397.57x = 596.39 × 109
  4. Step 4: Simplify right side
    397.57x = 65,006.51
  5. Step 5: Solve for x
    x = 65,006.51/397.57
  6. Step 6: Final answer
    x = 163.51

Related Problems

Find fourth proportional to 198.79, 298.20 and 54.50
Half scale
Find fourth proportional to 795.14, 1,192.78 and 218
Double scale
Find fourth proportional to 398.57, 597.89 and 110
Similar ratio
Find fourth proportional to 596.36, 894.59 and 163.50
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.