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Finding the Fourth Proportional to 319.78, 478.81 and 251.44

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Solution

The fourth proportional to 319.78, 478.81 and 251.44 is: 376.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.78 : 478.81 = 251.44 : x
  2. Step 2: Convert to fraction form
    319.78/478.81 = 251.44/x
  3. Step 3: Cross multiply
    319.78x = 478.81 × 251.44
  4. Step 4: Simplify right side
    319.78x = 120,391.10
  5. Step 5: Solve for x
    x = 120,391.10/319.78
  6. Step 6: Final answer
    x = 376.48

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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.