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Finding the Fourth Proportional to 496.78, 745.14 and 204.28

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Solution

The fourth proportional to 496.78, 745.14 and 204.28 is: 306.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.78 : 745.14 = 204.28 : x
  2. Step 2: Convert to fraction form
    496.78/745.14 = 204.28/x
  3. Step 3: Cross multiply
    496.78x = 745.14 × 204.28
  4. Step 4: Simplify right side
    496.78x = 152,217.20
  5. Step 5: Solve for x
    x = 152,217.20/496.78
  6. Step 6: Final answer
    x = 306.41

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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.