Home / 224.05-309.32-164.99

Finding the Fourth Proportional to 224.05, 309.32 and 164.99

Calculator

Solution

The fourth proportional to 224.05, 309.32 and 164.99 is: 227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.05 : 309.32 = 164.99 : x
  2. Step 2: Convert to fraction form
    224.05/309.32 = 164.99/x
  3. Step 3: Cross multiply
    224.05x = 309.32 × 164.99
  4. Step 4: Simplify right side
    224.05x = 51,034.71
  5. Step 5: Solve for x
    x = 51,034.71/224.05
  6. Step 6: Final answer
    x = 227.78

Related Problems

Find fourth proportional to 112.03, 154.66 and 82.50
Half scale
Find fourth proportional to 448.10, 618.64 and 329.98
Double scale
Find fourth proportional to 225.05, 310.70 and 165.99
Similar ratio
Find fourth proportional to 336.08, 463.98 and 247.49
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.