Home / 564.16-846.34-199.16

Finding the Fourth Proportional to 564.16, 846.34 and 199.16

Calculator

Solution

The fourth proportional to 564.16, 846.34 and 199.16 is: 298.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.16 : 846.34 = 199.16 : x
  2. Step 2: Convert to fraction form
    564.16/846.34 = 199.16/x
  3. Step 3: Cross multiply
    564.16x = 846.34 × 199.16
  4. Step 4: Simplify right side
    564.16x = 168,557.07
  5. Step 5: Solve for x
    x = 168,557.07/564.16
  6. Step 6: Final answer
    x = 298.78

Related Problems

Find fourth proportional to 282.08, 423.17 and 99.58
Half scale
Find fourth proportional to 1,128.32, 1,692.68 and 398.32
Double scale
Find fourth proportional to 565.16, 847.84 and 200.16
Similar ratio
Find fourth proportional to 846.24, 1,269.51 and 298.74
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.