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Finding the Fourth Proportional to 408.83, 613.47 and 165.37

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Solution

The fourth proportional to 408.83, 613.47 and 165.37 is: 248.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.83 : 613.47 = 165.37 : x
  2. Step 2: Convert to fraction form
    408.83/613.47 = 165.37/x
  3. Step 3: Cross multiply
    408.83x = 613.47 × 165.37
  4. Step 4: Simplify right side
    408.83x = 101,448.91
  5. Step 5: Solve for x
    x = 101,448.91/408.83
  6. Step 6: Final answer
    x = 248.15

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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.