Home / 420.16-629.96-257.80

Finding the Fourth Proportional to 420.16, 629.96 and 257.80

Calculator

Solution

The fourth proportional to 420.16, 629.96 and 257.80 is: 386.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.16 : 629.96 = 257.80 : x
  2. Step 2: Convert to fraction form
    420.16/629.96 = 257.80/x
  3. Step 3: Cross multiply
    420.16x = 629.96 × 257.80
  4. Step 4: Simplify right side
    420.16x = 162,403.69
  5. Step 5: Solve for x
    x = 162,403.69/420.16
  6. Step 6: Final answer
    x = 386.53

Related Problems

Find fourth proportional to 210.08, 314.98 and 128.90
Half scale
Find fourth proportional to 840.32, 1,259.92 and 515.60
Double scale
Find fourth proportional to 421.16, 631.46 and 258.80
Similar ratio
Find fourth proportional to 630.24, 944.94 and 386.70
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.