Home / 96.09-144.16-31.10

Finding the Fourth Proportional to 96.09, 144.16 and 31.10

Calculator

Solution

The fourth proportional to 96.09, 144.16 and 31.10 is: 46.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.09 : 144.16 = 31.10 : x
  2. Step 2: Convert to fraction form
    96.09/144.16 = 31.10/x
  3. Step 3: Cross multiply
    96.09x = 144.16 × 31.10
  4. Step 4: Simplify right side
    96.09x = 4,483.04
  5. Step 5: Solve for x
    x = 4,483.04/96.09
  6. Step 6: Final answer
    x = 46.65

Related Problems

Find fourth proportional to 48.05, 72.08 and 15.55
Half scale
Find fourth proportional to 192.19, 288.32 and 62.20
Double scale
Find fourth proportional to 97.09, 145.66 and 32.10
Similar ratio
Find fourth proportional to 144.14, 216.24 and 46.65
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.