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Finding the Fourth Proportional to 409.41, 613.60 and 165.80

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Solution

The fourth proportional to 409.41, 613.60 and 165.80 is: 248.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.41 : 613.60 = 165.80 : x
  2. Step 2: Convert to fraction form
    409.41/613.60 = 165.80/x
  3. Step 3: Cross multiply
    409.41x = 613.60 × 165.80
  4. Step 4: Simplify right side
    409.41x = 101,734.88
  5. Step 5: Solve for x
    x = 101,734.88/409.41
  6. Step 6: Final answer
    x = 248.49

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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.