Home / 298.74-412.28-167.78

Finding the Fourth Proportional to 298.74, 412.28 and 167.78

Calculator

Solution

The fourth proportional to 298.74, 412.28 and 167.78 is: 231.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.74 : 412.28 = 167.78 : x
  2. Step 2: Convert to fraction form
    298.74/412.28 = 167.78/x
  3. Step 3: Cross multiply
    298.74x = 412.28 × 167.78
  4. Step 4: Simplify right side
    298.74x = 69,170.70
  5. Step 5: Solve for x
    x = 69,170.70/298.74
  6. Step 6: Final answer
    x = 231.54

Related Problems

Find fourth proportional to 149.37, 206.14 and 83.89
Half scale
Find fourth proportional to 597.48, 824.57 and 335.55
Double scale
Find fourth proportional to 299.74, 413.66 and 168.78
Similar ratio
Find fourth proportional to 448.11, 618.42 and 251.66
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.