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Finding the Fourth Proportional to 492.50, 738.72 and 203.73

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Solution

The fourth proportional to 492.50, 738.72 and 203.73 is: 305.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.50 : 738.72 = 203.73 : x
  2. Step 2: Convert to fraction form
    492.50/738.72 = 203.73/x
  3. Step 3: Cross multiply
    492.50x = 738.72 × 203.73
  4. Step 4: Simplify right side
    492.50x = 150,499.43
  5. Step 5: Solve for x
    x = 150,499.43/492.50
  6. Step 6: Final answer
    x = 305.59

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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.