Home / 383.82-529.66-209.16

Finding the Fourth Proportional to 383.82, 529.66 and 209.16

Calculator

Solution

The fourth proportional to 383.82, 529.66 and 209.16 is: 288.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.82 : 529.66 = 209.16 : x
  2. Step 2: Convert to fraction form
    383.82/529.66 = 209.16/x
  3. Step 3: Cross multiply
    383.82x = 529.66 × 209.16
  4. Step 4: Simplify right side
    383.82x = 110,783.69
  5. Step 5: Solve for x
    x = 110,783.69/383.82
  6. Step 6: Final answer
    x = 288.63

Related Problems

Find fourth proportional to 191.91, 264.83 and 104.58
Half scale
Find fourth proportional to 767.64, 1,059.32 and 418.32
Double scale
Find fourth proportional to 384.82, 531.04 and 210.16
Similar ratio
Find fourth proportional to 575.73, 794.49 and 313.74
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.