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Finding the Fourth Proportional to 494.75, 742.12 and 202.41

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Solution

The fourth proportional to 494.75, 742.12 and 202.41 is: 303.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.75 : 742.12 = 202.41 : x
  2. Step 2: Convert to fraction form
    494.75/742.12 = 202.41/x
  3. Step 3: Cross multiply
    494.75x = 742.12 × 202.41
  4. Step 4: Simplify right side
    494.75x = 150,212.51
  5. Step 5: Solve for x
    x = 150,212.51/494.75
  6. Step 6: Final answer
    x = 303.61

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