Home / 298.67-412.13-165.88

Finding the Fourth Proportional to 298.67, 412.13 and 165.88

Calculator

Solution

The fourth proportional to 298.67, 412.13 and 165.88 is: 228.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.67 : 412.13 = 165.88 : x
  2. Step 2: Convert to fraction form
    298.67/412.13 = 165.88/x
  3. Step 3: Cross multiply
    298.67x = 412.13 × 165.88
  4. Step 4: Simplify right side
    298.67x = 68,361.23
  5. Step 5: Solve for x
    x = 68,361.23/298.67
  6. Step 6: Final answer
    x = 228.89

Related Problems

Find fourth proportional to 149.34, 206.06 and 82.94
Half scale
Find fourth proportional to 597.34, 824.25 and 331.75
Double scale
Find fourth proportional to 299.67, 413.50 and 166.88
Similar ratio
Find fourth proportional to 448.01, 618.19 and 248.81
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.