Home / 232-320.32-140.16

Finding the Fourth Proportional to 232, 320.32 and 140.16

Calculator

Solution

The fourth proportional to 232, 320.32 and 140.16 is: 193.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    232 : 320.32 = 140.16 : x
  2. Step 2: Convert to fraction form
    232/320.32 = 140.16/x
  3. Step 3: Cross multiply
    232x = 320.32 × 140.16
  4. Step 4: Simplify right side
    232x = 44,896.05
  5. Step 5: Solve for x
    x = 44,896.05/232
  6. Step 6: Final answer
    x = 193.52

Related Problems

Find fourth proportional to 116, 160.16 and 70.08
Half scale
Find fourth proportional to 464, 640.64 and 280.32
Double scale
Find fourth proportional to 233, 321.70 and 141.16
Similar ratio
Find fourth proportional to 348, 480.48 and 210.24
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.