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Finding the Fourth Proportional to 411.10, 613.67 and 349.60

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Solution

The fourth proportional to 411.10, 613.67 and 349.60 is: 521.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.10 : 613.67 = 349.60 : x
  2. Step 2: Convert to fraction form
    411.10/613.67 = 349.60/x
  3. Step 3: Cross multiply
    411.10x = 613.67 × 349.60
  4. Step 4: Simplify right side
    411.10x = 214,539.03
  5. Step 5: Solve for x
    x = 214,539.03/411.10
  6. Step 6: Final answer
    x = 521.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.