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Finding the Fourth Proportional to 319.61, 441.43 and 255.95

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Solution

The fourth proportional to 319.61, 441.43 and 255.95 is: 353.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.61 : 441.43 = 255.95 : x
  2. Step 2: Convert to fraction form
    319.61/441.43 = 255.95/x
  3. Step 3: Cross multiply
    319.61x = 441.43 × 255.95
  4. Step 4: Simplify right side
    319.61x = 112,984.01
  5. Step 5: Solve for x
    x = 112,984.01/319.61
  6. Step 6: Final answer
    x = 353.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.