Home / 542-813.12-200

Finding the Fourth Proportional to 542, 813.12 and 200

Calculator

Solution

The fourth proportional to 542, 813.12 and 200 is: 300.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    542 : 813.12 = 200 : x
  2. Step 2: Convert to fraction form
    542/813.12 = 200/x
  3. Step 3: Cross multiply
    542x = 813.12 × 200
  4. Step 4: Simplify right side
    542x = 162,624
  5. Step 5: Solve for x
    x = 162,624/542
  6. Step 6: Final answer
    x = 300.04

Related Problems

Find fourth proportional to 271, 406.56 and 100
Half scale
Find fourth proportional to 1,084, 1,626.24 and 400
Double scale
Find fourth proportional to 543, 814.62 and 201
Similar ratio
Find fourth proportional to 813, 1,219.68 and 300
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.