Home / 151.07-208.21-106.82

Finding the Fourth Proportional to 151.07, 208.21 and 106.82

Calculator

Solution

The fourth proportional to 151.07, 208.21 and 106.82 is: 147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.07 : 208.21 = 106.82 : x
  2. Step 2: Convert to fraction form
    151.07/208.21 = 106.82/x
  3. Step 3: Cross multiply
    151.07x = 208.21 × 106.82
  4. Step 4: Simplify right side
    151.07x = 22,240.99
  5. Step 5: Solve for x
    x = 22,240.99/151.07
  6. Step 6: Final answer
    x = 147.22

Related Problems

Find fourth proportional to 75.54, 104.11 and 53.41
Half scale
Find fourth proportional to 302.14, 416.42 and 213.64
Double scale
Find fourth proportional to 152.07, 209.59 and 107.82
Similar ratio
Find fourth proportional to 226.61, 312.32 and 160.23
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.