Home / 409-564.46-232.02

Finding the Fourth Proportional to 409, 564.46 and 232.02

Calculator

Solution

The fourth proportional to 409, 564.46 and 232.02 is: 320.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    409 : 564.46 = 232.02 : x
  2. Step 2: Convert to fraction form
    409/564.46 = 232.02/x
  3. Step 3: Cross multiply
    409x = 564.46 × 232.02
  4. Step 4: Simplify right side
    409x = 130,966.01
  5. Step 5: Solve for x
    x = 130,966.01/409
  6. Step 6: Final answer
    x = 320.21

Related Problems

Find fourth proportional to 204.50, 282.23 and 116.01
Half scale
Find fourth proportional to 818, 1,128.92 and 464.04
Double scale
Find fourth proportional to 410, 565.84 and 233.02
Similar ratio
Find fourth proportional to 613.50, 846.69 and 348.03
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.