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Finding the Fourth Proportional to 255.94, 353.61 and 254.11

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Solution

The fourth proportional to 255.94, 353.61 and 254.11 is: 351.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.94 : 353.61 = 254.11 : x
  2. Step 2: Convert to fraction form
    255.94/353.61 = 254.11/x
  3. Step 3: Cross multiply
    255.94x = 353.61 × 254.11
  4. Step 4: Simplify right side
    255.94x = 89,855.84
  5. Step 5: Solve for x
    x = 89,855.84/255.94
  6. Step 6: Final answer
    x = 351.08

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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.