Home / 223.80-309.24-165

Finding the Fourth Proportional to 223.80, 309.24 and 165

Calculator

Solution

The fourth proportional to 223.80, 309.24 and 165 is: 227.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.80 : 309.24 = 165 : x
  2. Step 2: Convert to fraction form
    223.80/309.24 = 165/x
  3. Step 3: Cross multiply
    223.80x = 309.24 × 165
  4. Step 4: Simplify right side
    223.80x = 51,024.60
  5. Step 5: Solve for x
    x = 51,024.60/223.80
  6. Step 6: Final answer
    x = 227.99

Related Problems

Find fourth proportional to 111.90, 154.62 and 82.50
Half scale
Find fourth proportional to 447.60, 618.48 and 330
Double scale
Find fourth proportional to 224.80, 310.62 and 166
Similar ratio
Find fourth proportional to 335.70, 463.86 and 247.50
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.