Home / 460-689.64-200.04

Finding the Fourth Proportional to 460, 689.64 and 200.04

Calculator

Solution

The fourth proportional to 460, 689.64 and 200.04 is: 299.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    460 : 689.64 = 200.04 : x
  2. Step 2: Convert to fraction form
    460/689.64 = 200.04/x
  3. Step 3: Cross multiply
    460x = 689.64 × 200.04
  4. Step 4: Simplify right side
    460x = 137,955.59
  5. Step 5: Solve for x
    x = 137,955.59/460
  6. Step 6: Final answer
    x = 299.90

Related Problems

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.