Home / 227.84-314.02-164.82

Finding the Fourth Proportional to 227.84, 314.02 and 164.82

Calculator

Solution

The fourth proportional to 227.84, 314.02 and 164.82 is: 227.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.84 : 314.02 = 164.82 : x
  2. Step 2: Convert to fraction form
    227.84/314.02 = 164.82/x
  3. Step 3: Cross multiply
    227.84x = 314.02 × 164.82
  4. Step 4: Simplify right side
    227.84x = 51,756.36
  5. Step 5: Solve for x
    x = 51,756.36/227.84
  6. Step 6: Final answer
    x = 227.16

Related Problems

Find fourth proportional to 113.92, 157.01 and 82.41
Half scale
Find fourth proportional to 455.69, 628.04 and 329.64
Double scale
Find fourth proportional to 228.84, 315.40 and 165.82
Similar ratio
Find fourth proportional to 341.76, 471.03 and 247.23
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.