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Finding the Fourth Proportional to 411.55, 615.96 and 343.21

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Solution

The fourth proportional to 411.55, 615.96 and 343.21 is: 513.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.55 : 615.96 = 343.21 : x
  2. Step 2: Convert to fraction form
    411.55/615.96 = 343.21/x
  3. Step 3: Cross multiply
    411.55x = 615.96 × 343.21
  4. Step 4: Simplify right side
    411.55x = 211,403.63
  5. Step 5: Solve for x
    x = 211,403.63/411.55
  6. Step 6: Final answer
    x = 513.68

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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.