Home / 152.83-210.96-120.09

Finding the Fourth Proportional to 152.83, 210.96 and 120.09

Calculator

Solution

The fourth proportional to 152.83, 210.96 and 120.09 is: 165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.83 : 210.96 = 120.09 : x
  2. Step 2: Convert to fraction form
    152.83/210.96 = 120.09/x
  3. Step 3: Cross multiply
    152.83x = 210.96 × 120.09
  4. Step 4: Simplify right side
    152.83x = 25,334.19
  5. Step 5: Solve for x
    x = 25,334.19/152.83
  6. Step 6: Final answer
    x = 165.77

Related Problems

Find fourth proportional to 76.42, 105.48 and 60.05
Half scale
Find fourth proportional to 305.66, 421.92 and 240.18
Double scale
Find fourth proportional to 153.83, 212.34 and 121.09
Similar ratio
Find fourth proportional to 229.25, 316.44 and 180.14
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.