Home / 146.57-202.14-105.40

Finding the Fourth Proportional to 146.57, 202.14 and 105.40

Calculator

Solution

The fourth proportional to 146.57, 202.14 and 105.40 is: 145.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.57 : 202.14 = 105.40 : x
  2. Step 2: Convert to fraction form
    146.57/202.14 = 105.40/x
  3. Step 3: Cross multiply
    146.57x = 202.14 × 105.40
  4. Step 4: Simplify right side
    146.57x = 21,305.56
  5. Step 5: Solve for x
    x = 21,305.56/146.57
  6. Step 6: Final answer
    x = 145.36

Related Problems

Find fourth proportional to 73.29, 101.07 and 52.70
Half scale
Find fourth proportional to 293.14, 404.28 and 210.80
Double scale
Find fourth proportional to 147.57, 203.52 and 106.40
Similar ratio
Find fourth proportional to 219.86, 303.21 and 158.10
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.