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Finding the Fourth Proportional to 411.42, 617.31 and 219

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Solution

The fourth proportional to 411.42, 617.31 and 219 is: 328.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.42 : 617.31 = 219 : x
  2. Step 2: Convert to fraction form
    411.42/617.31 = 219/x
  3. Step 3: Cross multiply
    411.42x = 617.31 × 219
  4. Step 4: Simplify right side
    411.42x = 135,190.89
  5. Step 5: Solve for x
    x = 135,190.89/411.42
  6. Step 6: Final answer
    x = 328.60

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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.