Home / 177.38-266.12-105.20

Finding the Fourth Proportional to 177.38, 266.12 and 105.20

Calculator

Solution

The fourth proportional to 177.38, 266.12 and 105.20 is: 157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.38 : 266.12 = 105.20 : x
  2. Step 2: Convert to fraction form
    177.38/266.12 = 105.20/x
  3. Step 3: Cross multiply
    177.38x = 266.12 × 105.20
  4. Step 4: Simplify right side
    177.38x = 27,993.97
  5. Step 5: Solve for x
    x = 27,993.97/177.38
  6. Step 6: Final answer
    x = 157.82

Related Problems

Find fourth proportional to 88.69, 133.06 and 52.60
Half scale
Find fourth proportional to 354.75, 532.23 and 210.39
Double scale
Find fourth proportional to 178.38, 267.62 and 106.20
Similar ratio
Find fourth proportional to 266.06, 399.17 and 157.79
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.