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Finding the Fourth Proportional to 411, 615.55 and 323.72

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Solution

The fourth proportional to 411, 615.55 and 323.72 is: 484.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    411 : 615.55 = 323.72 : x
  2. Step 2: Convert to fraction form
    411/615.55 = 323.72/x
  3. Step 3: Cross multiply
    411x = 615.55 × 323.72
  4. Step 4: Simplify right side
    411x = 199,265.85
  5. Step 5: Solve for x
    x = 199,265.85/411
  6. Step 6: Final answer
    x = 484.83

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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.