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Finding the Fourth Proportional to 496.08, 744 and 203.50

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Solution

The fourth proportional to 496.08, 744 and 203.50 is: 305.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.08 : 744 = 203.50 : x
  2. Step 2: Convert to fraction form
    496.08/744 = 203.50/x
  3. Step 3: Cross multiply
    496.08x = 744 × 203.50
  4. Step 4: Simplify right side
    496.08x = 151,404
  5. Step 5: Solve for x
    x = 151,404/496.08
  6. Step 6: Final answer
    x = 305.20

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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.