Home / 271.52-407.20-256.80

Finding the Fourth Proportional to 271.52, 407.20 and 256.80

Calculator

Solution

The fourth proportional to 271.52, 407.20 and 256.80 is: 385.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.52 : 407.20 = 256.80 : x
  2. Step 2: Convert to fraction form
    271.52/407.20 = 256.80/x
  3. Step 3: Cross multiply
    271.52x = 407.20 × 256.80
  4. Step 4: Simplify right side
    271.52x = 104,568.96
  5. Step 5: Solve for x
    x = 104,568.96/271.52
  6. Step 6: Final answer
    x = 385.12

Related Problems

Find fourth proportional to 135.76, 203.60 and 128.40
Half scale
Find fourth proportional to 543.04, 814.40 and 513.60
Double scale
Find fourth proportional to 272.52, 408.70 and 257.80
Similar ratio
Find fourth proportional to 407.28, 610.80 and 385.20
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.