Home / 371.80-513.07-206

Finding the Fourth Proportional to 371.80, 513.07 and 206

Calculator

Solution

The fourth proportional to 371.80, 513.07 and 206 is: 284.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.80 : 513.07 = 206 : x
  2. Step 2: Convert to fraction form
    371.80/513.07 = 206/x
  3. Step 3: Cross multiply
    371.80x = 513.07 × 206
  4. Step 4: Simplify right side
    371.80x = 105,692.42
  5. Step 5: Solve for x
    x = 105,692.42/371.80
  6. Step 6: Final answer
    x = 284.27

Related Problems

Find fourth proportional to 185.90, 256.54 and 103
Half scale
Find fourth proportional to 743.60, 1,026.14 and 412
Double scale
Find fourth proportional to 372.80, 514.45 and 207
Similar ratio
Find fourth proportional to 557.70, 769.61 and 309
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.