Home / 216.16-323.64-180.24

Finding the Fourth Proportional to 216.16, 323.64 and 180.24

Calculator

Solution

The fourth proportional to 216.16, 323.64 and 180.24 is: 269.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.16 : 323.64 = 180.24 : x
  2. Step 2: Convert to fraction form
    216.16/323.64 = 180.24/x
  3. Step 3: Cross multiply
    216.16x = 323.64 × 180.24
  4. Step 4: Simplify right side
    216.16x = 58,332.87
  5. Step 5: Solve for x
    x = 58,332.87/216.16
  6. Step 6: Final answer
    x = 269.86

Related Problems

Find fourth proportional to 108.08, 161.82 and 90.12
Half scale
Find fourth proportional to 432.32, 647.28 and 360.48
Double scale
Find fourth proportional to 217.16, 325.14 and 181.24
Similar ratio
Find fourth proportional to 324.24, 485.46 and 270.36
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.