Home / 232.70-320.92-205.09

Finding the Fourth Proportional to 232.70, 320.92 and 205.09

Calculator

Solution

The fourth proportional to 232.70, 320.92 and 205.09 is: 282.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.70 : 320.92 = 205.09 : x
  2. Step 2: Convert to fraction form
    232.70/320.92 = 205.09/x
  3. Step 3: Cross multiply
    232.70x = 320.92 × 205.09
  4. Step 4: Simplify right side
    232.70x = 65,816.17
  5. Step 5: Solve for x
    x = 65,816.17/232.70
  6. Step 6: Final answer
    x = 282.84

Related Problems

Find fourth proportional to 116.35, 160.46 and 102.54
Half scale
Find fourth proportional to 465.39, 641.84 and 410.18
Double scale
Find fourth proportional to 233.70, 322.30 and 206.09
Similar ratio
Find fourth proportional to 349.04, 481.38 and 307.63
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.