Home / 299.12-412.71-206.24

Finding the Fourth Proportional to 299.12, 412.71 and 206.24

Calculator

Solution

The fourth proportional to 299.12, 412.71 and 206.24 is: 284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.12 : 412.71 = 206.24 : x
  2. Step 2: Convert to fraction form
    299.12/412.71 = 206.24/x
  3. Step 3: Cross multiply
    299.12x = 412.71 × 206.24
  4. Step 4: Simplify right side
    299.12x = 85,117.31
  5. Step 5: Solve for x
    x = 85,117.31/299.12
  6. Step 6: Final answer
    x = 284.56

Related Problems

Find fourth proportional to 149.56, 206.36 and 103.12
Half scale
Find fourth proportional to 598.24, 825.42 and 412.48
Double scale
Find fourth proportional to 300.12, 414.09 and 207.24
Similar ratio
Find fourth proportional to 448.68, 619.07 and 309.36
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.