Home / 398.88-597.36-206

Finding the Fourth Proportional to 398.88, 597.36 and 206

Calculator

Solution

The fourth proportional to 398.88, 597.36 and 206 is: 308.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.88 : 597.36 = 206 : x
  2. Step 2: Convert to fraction form
    398.88/597.36 = 206/x
  3. Step 3: Cross multiply
    398.88x = 597.36 × 206
  4. Step 4: Simplify right side
    398.88x = 123,056.16
  5. Step 5: Solve for x
    x = 123,056.16/398.88
  6. Step 6: Final answer
    x = 308.50

Related Problems

Find fourth proportional to 199.44, 298.68 and 103
Half scale
Find fourth proportional to 797.76, 1,194.72 and 412
Double scale
Find fourth proportional to 399.88, 598.86 and 207
Similar ratio
Find fourth proportional to 598.32, 896.04 and 309
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.