Home / 166-249-52

Finding the Fourth Proportional to 166, 249 and 52

Calculator

Solution

The fourth proportional to 166, 249 and 52 is: 78

Step by Step Solution

  1. Step 1: Write the proportion equation
    166 : 249 = 52 : x
  2. Step 2: Convert to fraction form
    166/249 = 52/x
  3. Step 3: Cross multiply
    166x = 249 × 52
  4. Step 4: Simplify right side
    166x = 12,948
  5. Step 5: Solve for x
    x = 12,948/166
  6. Step 6: Final answer
    x = 78

Related Problems

Find fourth proportional to 83, 124.50 and 26
Half scale
Find fourth proportional to 332, 498 and 104
Double scale
Find fourth proportional to 167, 250.50 and 53
Similar ratio
Find fourth proportional to 249, 373.50 and 78
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.