Home / 297.09-409.97-164.32

Finding the Fourth Proportional to 297.09, 409.97 and 164.32

Calculator

Solution

The fourth proportional to 297.09, 409.97 and 164.32 is: 226.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.09 : 409.97 = 164.32 : x
  2. Step 2: Convert to fraction form
    297.09/409.97 = 164.32/x
  3. Step 3: Cross multiply
    297.09x = 409.97 × 164.32
  4. Step 4: Simplify right side
    297.09x = 67,367.19
  5. Step 5: Solve for x
    x = 67,367.19/297.09
  6. Step 6: Final answer
    x = 226.76

Related Problems

Find fourth proportional to 148.55, 204.99 and 82.16
Half scale
Find fourth proportional to 594.18, 819.95 and 328.64
Double scale
Find fourth proportional to 298.09, 411.35 and 165.32
Similar ratio
Find fourth proportional to 445.64, 614.96 and 246.48
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.