Home / 825.41-1,238.09-209.11

Finding the Fourth Proportional to 825.41, 1,238.09 and 209.11

Calculator

Solution

The fourth proportional to 825.41, 1,238.09 and 209.11 is: 313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.41 : 1,238.09 = 209.11 : x
  2. Step 2: Convert to fraction form
    825.41/1,238.09 = 209.11/x
  3. Step 3: Cross multiply
    825.41x = 1,238.09 × 209.11
  4. Step 4: Simplify right side
    825.41x = 258,890.81
  5. Step 5: Solve for x
    x = 258,890.81/825.41
  6. Step 6: Final answer
    x = 313.65

Related Problems

Find fourth proportional to 412.70, 619.05 and 104.55
Half scale
Find fourth proportional to 1,650.81, 2,476.18 and 418.21
Double scale
Find fourth proportional to 826.41, 1,239.59 and 210.11
Similar ratio
Find fourth proportional to 1,238.11, 1,857.14 and 313.66
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.