Home / 102.86-154.31-30.72

Finding the Fourth Proportional to 102.86, 154.31 and 30.72

Calculator

Solution

The fourth proportional to 102.86, 154.31 and 30.72 is: 46.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.86 : 154.31 = 30.72 : x
  2. Step 2: Convert to fraction form
    102.86/154.31 = 30.72/x
  3. Step 3: Cross multiply
    102.86x = 154.31 × 30.72
  4. Step 4: Simplify right side
    102.86x = 4,740.25
  5. Step 5: Solve for x
    x = 4,740.25/102.86
  6. Step 6: Final answer
    x = 46.09

Related Problems

Find fourth proportional to 51.43, 77.15 and 15.36
Half scale
Find fourth proportional to 205.71, 308.61 and 61.44
Double scale
Find fourth proportional to 103.86, 155.81 and 31.72
Similar ratio
Find fourth proportional to 154.28, 231.46 and 46.08
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.