Home / 406.13-609.21-146.16

Finding the Fourth Proportional to 406.13, 609.21 and 146.16

Calculator

Solution

The fourth proportional to 406.13, 609.21 and 146.16 is: 219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.13 : 609.21 = 146.16 : x
  2. Step 2: Convert to fraction form
    406.13/609.21 = 146.16/x
  3. Step 3: Cross multiply
    406.13x = 609.21 × 146.16
  4. Step 4: Simplify right side
    406.13x = 89,042.13
  5. Step 5: Solve for x
    x = 89,042.13/406.13
  6. Step 6: Final answer
    x = 219.25

Related Problems

Find fourth proportional to 203.06, 304.61 and 73.08
Half scale
Find fourth proportional to 812.25, 1,218.42 and 292.32
Double scale
Find fourth proportional to 407.13, 610.71 and 147.16
Similar ratio
Find fourth proportional to 609.19, 913.82 and 219.24
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.