Home / 302.40-414.99-296.46

Finding the Fourth Proportional to 302.40, 414.99 and 296.46

Calculator

Solution

The fourth proportional to 302.40, 414.99 and 296.46 is: 406.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.40 : 414.99 = 296.46 : x
  2. Step 2: Convert to fraction form
    302.40/414.99 = 296.46/x
  3. Step 3: Cross multiply
    302.40x = 414.99 × 296.46
  4. Step 4: Simplify right side
    302.40x = 123,027.94
  5. Step 5: Solve for x
    x = 123,027.94/302.40
  6. Step 6: Final answer
    x = 406.84

Related Problems

Find fourth proportional to 151.20, 207.50 and 148.23
Half scale
Find fourth proportional to 604.80, 829.98 and 592.92
Double scale
Find fourth proportional to 303.40, 416.36 and 297.46
Similar ratio
Find fourth proportional to 453.60, 622.49 and 444.69
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.