Home / 310.09-465.38-180.09

Finding the Fourth Proportional to 310.09, 465.38 and 180.09

Calculator

Solution

The fourth proportional to 310.09, 465.38 and 180.09 is: 270.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.09 : 465.38 = 180.09 : x
  2. Step 2: Convert to fraction form
    310.09/465.38 = 180.09/x
  3. Step 3: Cross multiply
    310.09x = 465.38 × 180.09
  4. Step 4: Simplify right side
    310.09x = 83,808.86
  5. Step 5: Solve for x
    x = 83,808.86/310.09
  6. Step 6: Final answer
    x = 270.27

Related Problems

Find fourth proportional to 155.05, 232.69 and 90.04
Half scale
Find fourth proportional to 620.18, 930.77 and 360.17
Double scale
Find fourth proportional to 311.09, 466.88 and 181.09
Similar ratio
Find fourth proportional to 465.14, 698.07 and 270.13
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.