Home / 196.31-294.57-105

Finding the Fourth Proportional to 196.31, 294.57 and 105

Calculator

Solution

The fourth proportional to 196.31, 294.57 and 105 is: 157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.31 : 294.57 = 105 : x
  2. Step 2: Convert to fraction form
    196.31/294.57 = 105/x
  3. Step 3: Cross multiply
    196.31x = 294.57 × 105
  4. Step 4: Simplify right side
    196.31x = 30,929.85
  5. Step 5: Solve for x
    x = 30,929.85/196.31
  6. Step 6: Final answer
    x = 157.56

Related Problems

Find fourth proportional to 98.16, 147.29 and 52.50
Half scale
Find fourth proportional to 392.62, 589.14 and 210
Double scale
Find fourth proportional to 197.31, 296.07 and 106
Similar ratio
Find fourth proportional to 294.47, 441.86 and 157.50
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.