Home / 402.02-603.20-209.78

Finding the Fourth Proportional to 402.02, 603.20 and 209.78

Calculator

Solution

The fourth proportional to 402.02, 603.20 and 209.78 is: 314.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.02 : 603.20 = 209.78 : x
  2. Step 2: Convert to fraction form
    402.02/603.20 = 209.78/x
  3. Step 3: Cross multiply
    402.02x = 603.20 × 209.78
  4. Step 4: Simplify right side
    402.02x = 126,539.30
  5. Step 5: Solve for x
    x = 126,539.30/402.02
  6. Step 6: Final answer
    x = 314.76

Related Problems

Find fourth proportional to 201.01, 301.60 and 104.89
Half scale
Find fourth proportional to 804.04, 1,206.40 and 419.56
Double scale
Find fourth proportional to 403.02, 604.70 and 210.78
Similar ratio
Find fourth proportional to 603.03, 904.80 and 314.67
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.