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Finding the Fourth Proportional to 365.20, 497.36 and 363.04

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Solution

The fourth proportional to 365.20, 497.36 and 363.04 is: 494.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.20 : 497.36 = 363.04 : x
  2. Step 2: Convert to fraction form
    365.20/497.36 = 363.04/x
  3. Step 3: Cross multiply
    365.20x = 497.36 × 363.04
  4. Step 4: Simplify right side
    365.20x = 180,561.57
  5. Step 5: Solve for x
    x = 180,561.57/365.20
  6. Step 6: Final answer
    x = 494.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.