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Finding the Fourth Proportional to 319.55, 441.25 and 254.34

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Solution

The fourth proportional to 319.55, 441.25 and 254.34 is: 351.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.55 : 441.25 = 254.34 : x
  2. Step 2: Convert to fraction form
    319.55/441.25 = 254.34/x
  3. Step 3: Cross multiply
    319.55x = 441.25 × 254.34
  4. Step 4: Simplify right side
    319.55x = 112,226.89
  5. Step 5: Solve for x
    x = 112,226.89/319.55
  6. Step 6: Final answer
    x = 351.21

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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.