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Finding the Fourth Proportional to 499.12, 748.20 and 303.64

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Solution

The fourth proportional to 499.12, 748.20 and 303.64 is: 455.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.12 : 748.20 = 303.64 : x
  2. Step 2: Convert to fraction form
    499.12/748.20 = 303.64/x
  3. Step 3: Cross multiply
    499.12x = 748.20 × 303.64
  4. Step 4: Simplify right side
    499.12x = 227,183.45
  5. Step 5: Solve for x
    x = 227,183.45/499.12
  6. Step 6: Final answer
    x = 455.17

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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.