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Finding the Fourth Proportional to 365.16, 506.27 and 353.16

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Solution

The fourth proportional to 365.16, 506.27 and 353.16 is: 489.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.16 : 506.27 = 353.16 : x
  2. Step 2: Convert to fraction form
    365.16/506.27 = 353.16/x
  3. Step 3: Cross multiply
    365.16x = 506.27 × 353.16
  4. Step 4: Simplify right side
    365.16x = 178,794.31
  5. Step 5: Solve for x
    x = 178,794.31/365.16
  6. Step 6: Final answer
    x = 489.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.