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Finding the Fourth Proportional to 535.03, 738.36 and 298.97

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Solution

The fourth proportional to 535.03, 738.36 and 298.97 is: 412.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.03 : 738.36 = 298.97 : x
  2. Step 2: Convert to fraction form
    535.03/738.36 = 298.97/x
  3. Step 3: Cross multiply
    535.03x = 738.36 × 298.97
  4. Step 4: Simplify right side
    535.03x = 220,745.99
  5. Step 5: Solve for x
    x = 220,745.99/535.03
  6. Step 6: Final answer
    x = 412.59

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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.