Home / 146.28-219.30-77.82

Finding the Fourth Proportional to 146.28, 219.30 and 77.82

Calculator

Solution

The fourth proportional to 146.28, 219.30 and 77.82 is: 116.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.28 : 219.30 = 77.82 : x
  2. Step 2: Convert to fraction form
    146.28/219.30 = 77.82/x
  3. Step 3: Cross multiply
    146.28x = 219.30 × 77.82
  4. Step 4: Simplify right side
    146.28x = 17,065.93
  5. Step 5: Solve for x
    x = 17,065.93/146.28
  6. Step 6: Final answer
    x = 116.67

Related Problems

Find fourth proportional to 73.14, 109.65 and 38.91
Half scale
Find fourth proportional to 292.56, 438.60 and 155.64
Double scale
Find fourth proportional to 147.28, 220.80 and 78.82
Similar ratio
Find fourth proportional to 219.42, 328.95 and 116.73
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.