Home / 362.40-542.92-208.40

Finding the Fourth Proportional to 362.40, 542.92 and 208.40

Calculator

Solution

The fourth proportional to 362.40, 542.92 and 208.40 is: 312.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.40 : 542.92 = 208.40 : x
  2. Step 2: Convert to fraction form
    362.40/542.92 = 208.40/x
  3. Step 3: Cross multiply
    362.40x = 542.92 × 208.40
  4. Step 4: Simplify right side
    362.40x = 113,144.53
  5. Step 5: Solve for x
    x = 113,144.53/362.40
  6. Step 6: Final answer
    x = 312.21

Related Problems

Find fourth proportional to 181.20, 271.46 and 104.20
Half scale
Find fourth proportional to 724.80, 1,085.84 and 416.80
Double scale
Find fourth proportional to 363.40, 544.42 and 209.40
Similar ratio
Find fourth proportional to 543.60, 814.38 and 312.60
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.