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Finding the Fourth Proportional to 408.72, 613.23 and 165.42

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Solution

The fourth proportional to 408.72, 613.23 and 165.42 is: 248.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.72 : 613.23 = 165.42 : x
  2. Step 2: Convert to fraction form
    408.72/613.23 = 165.42/x
  3. Step 3: Cross multiply
    408.72x = 613.23 × 165.42
  4. Step 4: Simplify right side
    408.72x = 101,440.51
  5. Step 5: Solve for x
    x = 101,440.51/408.72
  6. Step 6: Final answer
    x = 248.19

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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.