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Finding the Fourth Proportional to 412.55, 617.46 and 344.21

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Solution

The fourth proportional to 412.55, 617.46 and 344.21 is: 515.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.55 : 617.46 = 344.21 : x
  2. Step 2: Convert to fraction form
    412.55/617.46 = 344.21/x
  3. Step 3: Cross multiply
    412.55x = 617.46 × 344.21
  4. Step 4: Simplify right side
    412.55x = 212,535.91
  5. Step 5: Solve for x
    x = 212,535.91/412.55
  6. Step 6: Final answer
    x = 515.18

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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.