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Finding the Fourth Proportional to 365.72, 505.27 and 255.68

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Solution

The fourth proportional to 365.72, 505.27 and 255.68 is: 353.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.72 : 505.27 = 255.68 : x
  2. Step 2: Convert to fraction form
    365.72/505.27 = 255.68/x
  3. Step 3: Cross multiply
    365.72x = 505.27 × 255.68
  4. Step 4: Simplify right side
    365.72x = 129,187.43
  5. Step 5: Solve for x
    x = 129,187.43/365.72
  6. Step 6: Final answer
    x = 353.24

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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.