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Finding the Fourth Proportional to 408.69, 612.45 and 235.44

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Solution

The fourth proportional to 408.69, 612.45 and 235.44 is: 352.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.69 : 612.45 = 235.44 : x
  2. Step 2: Convert to fraction form
    408.69/612.45 = 235.44/x
  3. Step 3: Cross multiply
    408.69x = 612.45 × 235.44
  4. Step 4: Simplify right side
    408.69x = 144,195.23
  5. Step 5: Solve for x
    x = 144,195.23/408.69
  6. Step 6: Final answer
    x = 352.82

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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.