Home / 301.64-416.30-219.12

Finding the Fourth Proportional to 301.64, 416.30 and 219.12

Calculator

Solution

The fourth proportional to 301.64, 416.30 and 219.12 is: 302.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.64 : 416.30 = 219.12 : x
  2. Step 2: Convert to fraction form
    301.64/416.30 = 219.12/x
  3. Step 3: Cross multiply
    301.64x = 416.30 × 219.12
  4. Step 4: Simplify right side
    301.64x = 91,217.57
  5. Step 5: Solve for x
    x = 91,217.57/301.64
  6. Step 6: Final answer
    x = 302.41

Related Problems

Find fourth proportional to 150.82, 208.15 and 109.56
Half scale
Find fourth proportional to 603.27, 832.60 and 438.23
Double scale
Find fourth proportional to 302.64, 417.68 and 220.12
Similar ratio
Find fourth proportional to 452.45, 624.45 and 328.67
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.