Home / 309.12-464-164.96

Finding the Fourth Proportional to 309.12, 464 and 164.96

Calculator

Solution

The fourth proportional to 309.12, 464 and 164.96 is: 247.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.12 : 464 = 164.96 : x
  2. Step 2: Convert to fraction form
    309.12/464 = 164.96/x
  3. Step 3: Cross multiply
    309.12x = 464 × 164.96
  4. Step 4: Simplify right side
    309.12x = 76,541.44
  5. Step 5: Solve for x
    x = 76,541.44/309.12
  6. Step 6: Final answer
    x = 247.61

Related Problems

Find fourth proportional to 154.56, 232 and 82.48
Half scale
Find fourth proportional to 618.24, 928 and 329.92
Double scale
Find fourth proportional to 310.12, 465.50 and 165.96
Similar ratio
Find fourth proportional to 463.68, 696 and 247.44
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.