Home / 306-422.64-202.32

Finding the Fourth Proportional to 306, 422.64 and 202.32

Calculator

Solution

The fourth proportional to 306, 422.64 and 202.32 is: 279.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    306 : 422.64 = 202.32 : x
  2. Step 2: Convert to fraction form
    306/422.64 = 202.32/x
  3. Step 3: Cross multiply
    306x = 422.64 × 202.32
  4. Step 4: Simplify right side
    306x = 85,508.52
  5. Step 5: Solve for x
    x = 85,508.52/306
  6. Step 6: Final answer
    x = 279.44

Related Problems

Find fourth proportional to 153, 211.32 and 101.16
Half scale
Find fourth proportional to 612, 845.28 and 404.64
Double scale
Find fourth proportional to 307, 424.02 and 203.32
Similar ratio
Find fourth proportional to 459, 633.96 and 303.48
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.