Home / 456.64-684.29-213.10

Finding the Fourth Proportional to 456.64, 684.29 and 213.10

Calculator

Solution

The fourth proportional to 456.64, 684.29 and 213.10 is: 319.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.64 : 684.29 = 213.10 : x
  2. Step 2: Convert to fraction form
    456.64/684.29 = 213.10/x
  3. Step 3: Cross multiply
    456.64x = 684.29 × 213.10
  4. Step 4: Simplify right side
    456.64x = 145,821.13
  5. Step 5: Solve for x
    x = 145,821.13/456.64
  6. Step 6: Final answer
    x = 319.33

Related Problems

Find fourth proportional to 228.32, 342.14 and 106.55
Half scale
Find fourth proportional to 913.28, 1,368.57 and 426.20
Double scale
Find fourth proportional to 457.64, 685.78 and 214.10
Similar ratio
Find fourth proportional to 684.96, 1,026.43 and 319.65
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.