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Finding the Fourth Proportional to 493.25, 738.77 and 369.99

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Solution

The fourth proportional to 493.25, 738.77 and 369.99 is: 554.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.25 : 738.77 = 369.99 : x
  2. Step 2: Convert to fraction form
    493.25/738.77 = 369.99/x
  3. Step 3: Cross multiply
    493.25x = 738.77 × 369.99
  4. Step 4: Simplify right side
    493.25x = 273,335.66
  5. Step 5: Solve for x
    x = 273,335.66/493.25
  6. Step 6: Final answer
    x = 554.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.