Home / 232.62-320.82-208.32

Finding the Fourth Proportional to 232.62, 320.82 and 208.32

Calculator

Solution

The fourth proportional to 232.62, 320.82 and 208.32 is: 287.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.62 : 320.82 = 208.32 : x
  2. Step 2: Convert to fraction form
    232.62/320.82 = 208.32/x
  3. Step 3: Cross multiply
    232.62x = 320.82 × 208.32
  4. Step 4: Simplify right side
    232.62x = 66,833.22
  5. Step 5: Solve for x
    x = 66,833.22/232.62
  6. Step 6: Final answer
    x = 287.31

Related Problems

Find fourth proportional to 116.31, 160.41 and 104.16
Half scale
Find fourth proportional to 465.24, 641.64 and 416.64
Double scale
Find fourth proportional to 233.62, 322.20 and 209.32
Similar ratio
Find fourth proportional to 348.93, 481.23 and 312.48
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.