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Finding the Fourth Proportional to 492.73, 738.64 and 338.73

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Solution

The fourth proportional to 492.73, 738.64 and 338.73 is: 507.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.73 : 738.64 = 338.73 : x
  2. Step 2: Convert to fraction form
    492.73/738.64 = 338.73/x
  3. Step 3: Cross multiply
    492.73x = 738.64 × 338.73
  4. Step 4: Simplify right side
    492.73x = 250,199.53
  5. Step 5: Solve for x
    x = 250,199.53/492.73
  6. Step 6: Final answer
    x = 507.78

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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.