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Finding the Fourth Proportional to 496.42, 744.25 and 199.90

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Solution

The fourth proportional to 496.42, 744.25 and 199.90 is: 299.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.42 : 744.25 = 199.90 : x
  2. Step 2: Convert to fraction form
    496.42/744.25 = 199.90/x
  3. Step 3: Cross multiply
    496.42x = 744.25 × 199.90
  4. Step 4: Simplify right side
    496.42x = 148,774.58
  5. Step 5: Solve for x
    x = 148,774.58/496.42
  6. Step 6: Final answer
    x = 299.69

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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.