Home / 152.31-210.23-105.12

Finding the Fourth Proportional to 152.31, 210.23 and 105.12

Calculator

Solution

The fourth proportional to 152.31, 210.23 and 105.12 is: 145.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.31 : 210.23 = 105.12 : x
  2. Step 2: Convert to fraction form
    152.31/210.23 = 105.12/x
  3. Step 3: Cross multiply
    152.31x = 210.23 × 105.12
  4. Step 4: Simplify right side
    152.31x = 22,099.38
  5. Step 5: Solve for x
    x = 22,099.38/152.31
  6. Step 6: Final answer
    x = 145.09

Related Problems

Find fourth proportional to 76.16, 105.12 and 52.56
Half scale
Find fourth proportional to 304.62, 420.46 and 210.24
Double scale
Find fourth proportional to 153.31, 211.61 and 106.12
Similar ratio
Find fourth proportional to 228.47, 315.35 and 157.68
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.