Home / 397.65-596.43-166.50

Finding the Fourth Proportional to 397.65, 596.43 and 166.50

Calculator

Solution

The fourth proportional to 397.65, 596.43 and 166.50 is: 249.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.65 : 596.43 = 166.50 : x
  2. Step 2: Convert to fraction form
    397.65/596.43 = 166.50/x
  3. Step 3: Cross multiply
    397.65x = 596.43 × 166.50
  4. Step 4: Simplify right side
    397.65x = 99,305.60
  5. Step 5: Solve for x
    x = 99,305.60/397.65
  6. Step 6: Final answer
    x = 249.73

Related Problems

Find fourth proportional to 198.83, 298.22 and 83.25
Half scale
Find fourth proportional to 795.30, 1,192.86 and 333
Double scale
Find fourth proportional to 398.65, 597.93 and 167.50
Similar ratio
Find fourth proportional to 596.48, 894.65 and 249.75
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.