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Finding the Fourth Proportional to 411.06, 615.56 and 333.50

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Solution

The fourth proportional to 411.06, 615.56 and 333.50 is: 499.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.06 : 615.56 = 333.50 : x
  2. Step 2: Convert to fraction form
    411.06/615.56 = 333.50/x
  3. Step 3: Cross multiply
    411.06x = 615.56 × 333.50
  4. Step 4: Simplify right side
    411.06x = 205,289.26
  5. Step 5: Solve for x
    x = 205,289.26/411.06
  6. Step 6: Final answer
    x = 499.41

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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.