Home / 338.36-506.64-256.64

Finding the Fourth Proportional to 338.36, 506.64 and 256.64

Calculator

Solution

The fourth proportional to 338.36, 506.64 and 256.64 is: 384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.36 : 506.64 = 256.64 : x
  2. Step 2: Convert to fraction form
    338.36/506.64 = 256.64/x
  3. Step 3: Cross multiply
    338.36x = 506.64 × 256.64
  4. Step 4: Simplify right side
    338.36x = 130,024.09
  5. Step 5: Solve for x
    x = 130,024.09/338.36
  6. Step 6: Final answer
    x = 384.28

Related Problems

Find fourth proportional to 169.18, 253.32 and 128.32
Half scale
Find fourth proportional to 676.72, 1,013.28 and 513.28
Double scale
Find fourth proportional to 339.36, 508.14 and 257.64
Similar ratio
Find fourth proportional to 507.54, 759.96 and 384.96
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.