Home / 342.99-511.65-312.21

Finding the Fourth Proportional to 342.99, 511.65 and 312.21

Calculator

Solution

The fourth proportional to 342.99, 511.65 and 312.21 is: 465.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.99 : 511.65 = 312.21 : x
  2. Step 2: Convert to fraction form
    342.99/511.65 = 312.21/x
  3. Step 3: Cross multiply
    342.99x = 511.65 × 312.21
  4. Step 4: Simplify right side
    342.99x = 159,742.25
  5. Step 5: Solve for x
    x = 159,742.25/342.99
  6. Step 6: Final answer
    x = 465.73

Related Problems

Find fourth proportional to 171.50, 255.83 and 156.11
Half scale
Find fourth proportional to 685.98, 1,023.30 and 624.42
Double scale
Find fourth proportional to 343.99, 513.14 and 313.21
Similar ratio
Find fourth proportional to 514.49, 767.48 and 468.32
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.