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Finding the Fourth Proportional to 492.21, 738.30 and 203.43

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Solution

The fourth proportional to 492.21, 738.30 and 203.43 is: 305.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.21 : 738.30 = 203.43 : x
  2. Step 2: Convert to fraction form
    492.21/738.30 = 203.43/x
  3. Step 3: Cross multiply
    492.21x = 738.30 × 203.43
  4. Step 4: Simplify right side
    492.21x = 150,192.37
  5. Step 5: Solve for x
    x = 150,192.37/492.21
  6. Step 6: Final answer
    x = 305.14

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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.