Home / 349.29-523.53-166.50

Finding the Fourth Proportional to 349.29, 523.53 and 166.50

Calculator

Solution

The fourth proportional to 349.29, 523.53 and 166.50 is: 249.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.29 : 523.53 = 166.50 : x
  2. Step 2: Convert to fraction form
    349.29/523.53 = 166.50/x
  3. Step 3: Cross multiply
    349.29x = 523.53 × 166.50
  4. Step 4: Simplify right side
    349.29x = 87,167.75
  5. Step 5: Solve for x
    x = 87,167.75/349.29
  6. Step 6: Final answer
    x = 249.56

Related Problems

Find fourth proportional to 174.65, 261.77 and 83.25
Half scale
Find fourth proportional to 698.58, 1,047.06 and 333
Double scale
Find fourth proportional to 350.29, 525.03 and 167.50
Similar ratio
Find fourth proportional to 523.94, 785.30 and 249.75
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.