Home / 233-321.78-164.36

Finding the Fourth Proportional to 233, 321.78 and 164.36

Calculator

Solution

The fourth proportional to 233, 321.78 and 164.36 is: 226.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    233 : 321.78 = 164.36 : x
  2. Step 2: Convert to fraction form
    233/321.78 = 164.36/x
  3. Step 3: Cross multiply
    233x = 321.78 × 164.36
  4. Step 4: Simplify right side
    233x = 52,887.76
  5. Step 5: Solve for x
    x = 52,887.76/233
  6. Step 6: Final answer
    x = 226.99

Related Problems

Find fourth proportional to 116.50, 160.89 and 82.18
Half scale
Find fourth proportional to 466, 643.56 and 328.72
Double scale
Find fourth proportional to 234, 323.16 and 165.36
Similar ratio
Find fourth proportional to 349.50, 482.67 and 246.54
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.