Home / 409.19-564.70-234.54

Finding the Fourth Proportional to 409.19, 564.70 and 234.54

Calculator

Solution

The fourth proportional to 409.19, 564.70 and 234.54 is: 323.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.19 : 564.70 = 234.54 : x
  2. Step 2: Convert to fraction form
    409.19/564.70 = 234.54/x
  3. Step 3: Cross multiply
    409.19x = 564.70 × 234.54
  4. Step 4: Simplify right side
    409.19x = 132,446.74
  5. Step 5: Solve for x
    x = 132,446.74/409.19
  6. Step 6: Final answer
    x = 323.68

Related Problems

Find fourth proportional to 204.59, 282.35 and 117.27
Half scale
Find fourth proportional to 818.38, 1,129.41 and 469.09
Double scale
Find fourth proportional to 410.19, 566.08 and 235.54
Similar ratio
Find fourth proportional to 613.78, 847.05 and 351.81
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.