Home / 349.07-523.60-105.66

Finding the Fourth Proportional to 349.07, 523.60 and 105.66

Calculator

Solution

The fourth proportional to 349.07, 523.60 and 105.66 is: 158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.07 : 523.60 = 105.66 : x
  2. Step 2: Convert to fraction form
    349.07/523.60 = 105.66/x
  3. Step 3: Cross multiply
    349.07x = 523.60 × 105.66
  4. Step 4: Simplify right side
    349.07x = 55,323.31
  5. Step 5: Solve for x
    x = 55,323.31/349.07
  6. Step 6: Final answer
    x = 158.49

Related Problems

Find fourth proportional to 174.53, 261.80 and 52.83
Half scale
Find fourth proportional to 698.13, 1,047.20 and 211.32
Double scale
Find fourth proportional to 350.07, 525.10 and 106.66
Similar ratio
Find fourth proportional to 523.60, 785.40 and 158.49
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.