Home / 464.23-696.32-156.09

Finding the Fourth Proportional to 464.23, 696.32 and 156.09

Calculator

Solution

The fourth proportional to 464.23, 696.32 and 156.09 is: 234.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.23 : 696.32 = 156.09 : x
  2. Step 2: Convert to fraction form
    464.23/696.32 = 156.09/x
  3. Step 3: Cross multiply
    464.23x = 696.32 × 156.09
  4. Step 4: Simplify right side
    464.23x = 108,688.59
  5. Step 5: Solve for x
    x = 108,688.59/464.23
  6. Step 6: Final answer
    x = 234.13

Related Problems

Find fourth proportional to 232.12, 348.16 and 78.05
Half scale
Find fourth proportional to 928.46, 1,392.64 and 312.18
Double scale
Find fourth proportional to 465.23, 697.82 and 157.09
Similar ratio
Find fourth proportional to 696.35, 1,044.48 and 234.14
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.