Home / 312.54-468.42-150

Finding the Fourth Proportional to 312.54, 468.42 and 150

Calculator

Solution

The fourth proportional to 312.54, 468.42 and 150 is: 224.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.54 : 468.42 = 150 : x
  2. Step 2: Convert to fraction form
    312.54/468.42 = 150/x
  3. Step 3: Cross multiply
    312.54x = 468.42 × 150
  4. Step 4: Simplify right side
    312.54x = 70,263
  5. Step 5: Solve for x
    x = 70,263/312.54
  6. Step 6: Final answer
    x = 224.81

Related Problems

Find fourth proportional to 156.27, 234.21 and 75
Half scale
Find fourth proportional to 625.08, 936.84 and 300
Double scale
Find fourth proportional to 313.54, 469.92 and 151
Similar ratio
Find fourth proportional to 468.81, 702.63 and 225
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.