Home / 155.76-214.78-106

Finding the Fourth Proportional to 155.76, 214.78 and 106

Calculator

Solution

The fourth proportional to 155.76, 214.78 and 106 is: 146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.76 : 214.78 = 106 : x
  2. Step 2: Convert to fraction form
    155.76/214.78 = 106/x
  3. Step 3: Cross multiply
    155.76x = 214.78 × 106
  4. Step 4: Simplify right side
    155.76x = 22,766.68
  5. Step 5: Solve for x
    x = 22,766.68/155.76
  6. Step 6: Final answer
    x = 146.17

Related Problems

Find fourth proportional to 77.88, 107.39 and 53
Half scale
Find fourth proportional to 311.52, 429.56 and 212
Double scale
Find fourth proportional to 156.76, 216.16 and 107
Similar ratio
Find fourth proportional to 233.64, 322.17 and 159
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.