Home / 166.40-229.76-137.60

Finding the Fourth Proportional to 166.40, 229.76 and 137.60

Calculator

Solution

The fourth proportional to 166.40, 229.76 and 137.60 is: 189.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.40 : 229.76 = 137.60 : x
  2. Step 2: Convert to fraction form
    166.40/229.76 = 137.60/x
  3. Step 3: Cross multiply
    166.40x = 229.76 × 137.60
  4. Step 4: Simplify right side
    166.40x = 31,614.98
  5. Step 5: Solve for x
    x = 31,614.98/166.40
  6. Step 6: Final answer
    x = 189.99

Related Problems

Find fourth proportional to 83.20, 114.88 and 68.80
Half scale
Find fourth proportional to 332.80, 459.52 and 275.20
Double scale
Find fourth proportional to 167.40, 231.14 and 138.60
Similar ratio
Find fourth proportional to 249.60, 344.64 and 206.40
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.