Home / 242.09-362.98-105.06

Finding the Fourth Proportional to 242.09, 362.98 and 105.06

Calculator

Solution

The fourth proportional to 242.09, 362.98 and 105.06 is: 157.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.09 : 362.98 = 105.06 : x
  2. Step 2: Convert to fraction form
    242.09/362.98 = 105.06/x
  3. Step 3: Cross multiply
    242.09x = 362.98 × 105.06
  4. Step 4: Simplify right side
    242.09x = 38,134.68
  5. Step 5: Solve for x
    x = 38,134.68/242.09
  6. Step 6: Final answer
    x = 157.52

Related Problems

Find fourth proportional to 121.05, 181.49 and 52.53
Half scale
Find fourth proportional to 484.18, 725.96 and 210.12
Double scale
Find fourth proportional to 243.09, 364.48 and 106.06
Similar ratio
Find fourth proportional to 363.14, 544.47 and 157.59
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.