Home / 320.40-441.64-306

Finding the Fourth Proportional to 320.40, 441.64 and 306

Calculator

Solution

The fourth proportional to 320.40, 441.64 and 306 is: 421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.40 : 441.64 = 306 : x
  2. Step 2: Convert to fraction form
    320.40/441.64 = 306/x
  3. Step 3: Cross multiply
    320.40x = 441.64 × 306
  4. Step 4: Simplify right side
    320.40x = 135,141.84
  5. Step 5: Solve for x
    x = 135,141.84/320.40
  6. Step 6: Final answer
    x = 421.79

Related Problems

Find fourth proportional to 160.20, 220.82 and 153
Half scale
Find fourth proportional to 640.80, 883.28 and 612
Double scale
Find fourth proportional to 321.40, 443.02 and 307
Similar ratio
Find fourth proportional to 480.60, 662.46 and 459
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.