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Finding the Fourth Proportional to 319, 480.96 and 255.64

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Solution

The fourth proportional to 319, 480.96 and 255.64 is: 385.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    319 : 480.96 = 255.64 : x
  2. Step 2: Convert to fraction form
    319/480.96 = 255.64/x
  3. Step 3: Cross multiply
    319x = 480.96 × 255.64
  4. Step 4: Simplify right side
    319x = 122,952.61
  5. Step 5: Solve for x
    x = 122,952.61/319
  6. Step 6: Final answer
    x = 385.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.