Home / 413.47-620.32-231

Finding the Fourth Proportional to 413.47, 620.32 and 231

Calculator

Solution

The fourth proportional to 413.47, 620.32 and 231 is: 346.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.47 : 620.32 = 231 : x
  2. Step 2: Convert to fraction form
    413.47/620.32 = 231/x
  3. Step 3: Cross multiply
    413.47x = 620.32 × 231
  4. Step 4: Simplify right side
    413.47x = 143,293.92
  5. Step 5: Solve for x
    x = 143,293.92/413.47
  6. Step 6: Final answer
    x = 346.56

Related Problems

Find fourth proportional to 206.74, 310.16 and 115.50
Half scale
Find fourth proportional to 826.94, 1,240.64 and 462
Double scale
Find fourth proportional to 414.47, 621.82 and 232
Similar ratio
Find fourth proportional to 620.21, 930.48 and 346.50
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.