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Finding the Fourth Proportional to 442.78, 664.23 and 259.85

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Solution

The fourth proportional to 442.78, 664.23 and 259.85 is: 389.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.78 : 664.23 = 259.85 : x
  2. Step 2: Convert to fraction form
    442.78/664.23 = 259.85/x
  3. Step 3: Cross multiply
    442.78x = 664.23 × 259.85
  4. Step 4: Simplify right side
    442.78x = 172,602.80
  5. Step 5: Solve for x
    x = 172,602.80/442.78
  6. Step 6: Final answer
    x = 389.82

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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.