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Finding the Fourth Proportional to 255.67, 351.81 and 254.07

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Solution

The fourth proportional to 255.67, 351.81 and 254.07 is: 349.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.67 : 351.81 = 254.07 : x
  2. Step 2: Convert to fraction form
    255.67/351.81 = 254.07/x
  3. Step 3: Cross multiply
    255.67x = 351.81 × 254.07
  4. Step 4: Simplify right side
    255.67x = 89,384.37
  5. Step 5: Solve for x
    x = 89,384.37/255.67
  6. Step 6: Final answer
    x = 349.61

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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.