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Finding the Fourth Proportional to 319.34, 442.82 and 308.97

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Solution

The fourth proportional to 319.34, 442.82 and 308.97 is: 428.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.34 : 442.82 = 308.97 : x
  2. Step 2: Convert to fraction form
    319.34/442.82 = 308.97/x
  3. Step 3: Cross multiply
    319.34x = 442.82 × 308.97
  4. Step 4: Simplify right side
    319.34x = 136,816.55
  5. Step 5: Solve for x
    x = 136,816.55/319.34
  6. Step 6: Final answer
    x = 428.44

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.