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Finding the Fourth Proportional to 494.09, 741.15 and 205.55

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Solution

The fourth proportional to 494.09, 741.15 and 205.55 is: 308.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.09 : 741.15 = 205.55 : x
  2. Step 2: Convert to fraction form
    494.09/741.15 = 205.55/x
  3. Step 3: Cross multiply
    494.09x = 741.15 × 205.55
  4. Step 4: Simplify right side
    494.09x = 152,343.38
  5. Step 5: Solve for x
    x = 152,343.38/494.09
  6. Step 6: Final answer
    x = 308.33

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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.