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Finding the Fourth Proportional to 365.89, 504.07 and 255.17

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Solution

The fourth proportional to 365.89, 504.07 and 255.17 is: 351.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.89 : 504.07 = 255.17 : x
  2. Step 2: Convert to fraction form
    365.89/504.07 = 255.17/x
  3. Step 3: Cross multiply
    365.89x = 504.07 × 255.17
  4. Step 4: Simplify right side
    365.89x = 128,623.54
  5. Step 5: Solve for x
    x = 128,623.54/365.89
  6. Step 6: Final answer
    x = 351.54

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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.