Home / 322.78-445.47-206.32

Finding the Fourth Proportional to 322.78, 445.47 and 206.32

Calculator

Solution

The fourth proportional to 322.78, 445.47 and 206.32 is: 284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.78 : 445.47 = 206.32 : x
  2. Step 2: Convert to fraction form
    322.78/445.47 = 206.32/x
  3. Step 3: Cross multiply
    322.78x = 445.47 × 206.32
  4. Step 4: Simplify right side
    322.78x = 91,909.37
  5. Step 5: Solve for x
    x = 91,909.37/322.78
  6. Step 6: Final answer
    x = 284.74

Related Problems

Find fourth proportional to 161.39, 222.74 and 103.16
Half scale
Find fourth proportional to 645.56, 890.94 and 412.64
Double scale
Find fourth proportional to 323.78, 446.85 and 207.32
Similar ratio
Find fourth proportional to 484.17, 668.21 and 309.48
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.