Home / 258.20-387.14-109.78

Finding the Fourth Proportional to 258.20, 387.14 and 109.78

Calculator

Solution

The fourth proportional to 258.20, 387.14 and 109.78 is: 164.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.20 : 387.14 = 109.78 : x
  2. Step 2: Convert to fraction form
    258.20/387.14 = 109.78/x
  3. Step 3: Cross multiply
    258.20x = 387.14 × 109.78
  4. Step 4: Simplify right side
    258.20x = 42,497.74
  5. Step 5: Solve for x
    x = 42,497.74/258.20
  6. Step 6: Final answer
    x = 164.60

Related Problems

Find fourth proportional to 129.10, 193.57 and 54.89
Half scale
Find fourth proportional to 516.39, 774.27 and 219.55
Double scale
Find fourth proportional to 259.20, 388.63 and 110.78
Similar ratio
Find fourth proportional to 387.29, 580.70 and 164.66
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.