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Finding the Fourth Proportional to 491.96, 738.14 and 203.60

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Solution

The fourth proportional to 491.96, 738.14 and 203.60 is: 305.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.96 : 738.14 = 203.60 : x
  2. Step 2: Convert to fraction form
    491.96/738.14 = 203.60/x
  3. Step 3: Cross multiply
    491.96x = 738.14 × 203.60
  4. Step 4: Simplify right side
    491.96x = 150,285.30
  5. Step 5: Solve for x
    x = 150,285.30/491.96
  6. Step 6: Final answer
    x = 305.48

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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.