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Finding the Fourth Proportional to 442.45, 662.46 and 259.39

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Solution

The fourth proportional to 442.45, 662.46 and 259.39 is: 388.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.45 : 662.46 = 259.39 : x
  2. Step 2: Convert to fraction form
    442.45/662.46 = 259.39/x
  3. Step 3: Cross multiply
    442.45x = 662.46 × 259.39
  4. Step 4: Simplify right side
    442.45x = 171,835.50
  5. Step 5: Solve for x
    x = 171,835.50/442.45
  6. Step 6: Final answer
    x = 388.37

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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.