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Finding the Fourth Proportional to 365.54, 500.82 and 360.99

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Solution

The fourth proportional to 365.54, 500.82 and 360.99 is: 494.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.54 : 500.82 = 360.99 : x
  2. Step 2: Convert to fraction form
    365.54/500.82 = 360.99/x
  3. Step 3: Cross multiply
    365.54x = 500.82 × 360.99
  4. Step 4: Simplify right side
    365.54x = 180,791.01
  5. Step 5: Solve for x
    x = 180,791.01/365.54
  6. Step 6: Final answer
    x = 494.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.