Home / 137.32-189.37-106.30

Finding the Fourth Proportional to 137.32, 189.37 and 106.30

Calculator

Solution

The fourth proportional to 137.32, 189.37 and 106.30 is: 146.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.32 : 189.37 = 106.30 : x
  2. Step 2: Convert to fraction form
    137.32/189.37 = 106.30/x
  3. Step 3: Cross multiply
    137.32x = 189.37 × 106.30
  4. Step 4: Simplify right side
    137.32x = 20,129.77
  5. Step 5: Solve for x
    x = 20,129.77/137.32
  6. Step 6: Final answer
    x = 146.59

Related Problems

Find fourth proportional to 68.66, 94.68 and 53.15
Half scale
Find fourth proportional to 274.64, 378.74 and 212.60
Double scale
Find fourth proportional to 138.32, 190.75 and 107.30
Similar ratio
Find fourth proportional to 205.98, 284.05 and 159.45
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.