Home / 342.24-512.76-180

Finding the Fourth Proportional to 342.24, 512.76 and 180

Calculator

Solution

The fourth proportional to 342.24, 512.76 and 180 is: 269.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.24 : 512.76 = 180 : x
  2. Step 2: Convert to fraction form
    342.24/512.76 = 180/x
  3. Step 3: Cross multiply
    342.24x = 512.76 × 180
  4. Step 4: Simplify right side
    342.24x = 92,296.80
  5. Step 5: Solve for x
    x = 92,296.80/342.24
  6. Step 6: Final answer
    x = 269.68

Related Problems

Find fourth proportional to 171.12, 256.38 and 90
Half scale
Find fourth proportional to 684.48, 1,025.52 and 360
Double scale
Find fourth proportional to 343.24, 514.26 and 181
Similar ratio
Find fourth proportional to 513.36, 769.14 and 270
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.