Home / 192.78-289.19-71.02

Finding the Fourth Proportional to 192.78, 289.19 and 71.02

Calculator

Solution

The fourth proportional to 192.78, 289.19 and 71.02 is: 106.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.78 : 289.19 = 71.02 : x
  2. Step 2: Convert to fraction form
    192.78/289.19 = 71.02/x
  3. Step 3: Cross multiply
    192.78x = 289.19 × 71.02
  4. Step 4: Simplify right side
    192.78x = 20,538.27
  5. Step 5: Solve for x
    x = 20,538.27/192.78
  6. Step 6: Final answer
    x = 106.54

Related Problems

Find fourth proportional to 96.39, 144.60 and 35.51
Half scale
Find fourth proportional to 385.56, 578.38 and 142.04
Double scale
Find fourth proportional to 193.78, 290.69 and 72.02
Similar ratio
Find fourth proportional to 289.17, 433.79 and 106.53
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.