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Finding the Fourth Proportional to 319.60, 441.08 and 254.60

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Solution

The fourth proportional to 319.60, 441.08 and 254.60 is: 351.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.60 : 441.08 = 254.60 : x
  2. Step 2: Convert to fraction form
    319.60/441.08 = 254.60/x
  3. Step 3: Cross multiply
    319.60x = 441.08 × 254.60
  4. Step 4: Simplify right side
    319.60x = 112,298.97
  5. Step 5: Solve for x
    x = 112,298.97/319.60
  6. Step 6: Final answer
    x = 351.37

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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.