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Finding the Fourth Proportional to 492.40, 738.16 and 203.68

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Solution

The fourth proportional to 492.40, 738.16 and 203.68 is: 305.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.40 : 738.16 = 203.68 : x
  2. Step 2: Convert to fraction form
    492.40/738.16 = 203.68/x
  3. Step 3: Cross multiply
    492.40x = 738.16 × 203.68
  4. Step 4: Simplify right side
    492.40x = 150,348.43
  5. Step 5: Solve for x
    x = 150,348.43/492.40
  6. Step 6: Final answer
    x = 305.34

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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.