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Finding the Fourth Proportional to 496.38, 744.57 and 208.14

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Solution

The fourth proportional to 496.38, 744.57 and 208.14 is: 312.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.38 : 744.57 = 208.14 : x
  2. Step 2: Convert to fraction form
    496.38/744.57 = 208.14/x
  3. Step 3: Cross multiply
    496.38x = 744.57 × 208.14
  4. Step 4: Simplify right side
    496.38x = 154,974.80
  5. Step 5: Solve for x
    x = 154,974.80/496.38
  6. Step 6: Final answer
    x = 312.21

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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.