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Finding the Fourth Proportional to 493.72, 681.24 and 363.04

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Solution

The fourth proportional to 493.72, 681.24 and 363.04 is: 500.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.72 : 681.24 = 363.04 : x
  2. Step 2: Convert to fraction form
    493.72/681.24 = 363.04/x
  3. Step 3: Cross multiply
    493.72x = 681.24 × 363.04
  4. Step 4: Simplify right side
    493.72x = 247,317.03
  5. Step 5: Solve for x
    x = 247,317.03/493.72
  6. Step 6: Final answer
    x = 500.93

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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.