Home / 416.09-574.20-229.58

Finding the Fourth Proportional to 416.09, 574.20 and 229.58

Calculator

Solution

The fourth proportional to 416.09, 574.20 and 229.58 is: 316.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.09 : 574.20 = 229.58 : x
  2. Step 2: Convert to fraction form
    416.09/574.20 = 229.58/x
  3. Step 3: Cross multiply
    416.09x = 574.20 × 229.58
  4. Step 4: Simplify right side
    416.09x = 131,824.84
  5. Step 5: Solve for x
    x = 131,824.84/416.09
  6. Step 6: Final answer
    x = 316.82

Related Problems

Find fourth proportional to 208.05, 287.10 and 114.79
Half scale
Find fourth proportional to 832.18, 1,148.40 and 459.16
Double scale
Find fourth proportional to 417.09, 575.58 and 230.58
Similar ratio
Find fourth proportional to 624.14, 861.30 and 344.37
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.