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Finding the Fourth Proportional to 408.60, 612.54 and 192.42

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Solution

The fourth proportional to 408.60, 612.54 and 192.42 is: 288.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.60 : 612.54 = 192.42 : x
  2. Step 2: Convert to fraction form
    408.60/612.54 = 192.42/x
  3. Step 3: Cross multiply
    408.60x = 612.54 × 192.42
  4. Step 4: Simplify right side
    408.60x = 117,864.95
  5. Step 5: Solve for x
    x = 117,864.95/408.60
  6. Step 6: Final answer
    x = 288.46

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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.