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Finding the Fourth Proportional to 494.84, 742.94 and 251.53

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Solution

The fourth proportional to 494.84, 742.94 and 251.53 is: 377.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.84 : 742.94 = 251.53 : x
  2. Step 2: Convert to fraction form
    494.84/742.94 = 251.53/x
  3. Step 3: Cross multiply
    494.84x = 742.94 × 251.53
  4. Step 4: Simplify right side
    494.84x = 186,868.58
  5. Step 5: Solve for x
    x = 186,868.58/494.84
  6. Step 6: Final answer
    x = 377.64

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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.