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Finding the Fourth Proportional to 993.28, 1,489.90 and 299.96

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Solution

The fourth proportional to 993.28, 1,489.90 and 299.96 is: 449.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.28 : 1,489.90 = 299.96 : x
  2. Step 2: Convert to fraction form
    993.28/1,489.90 = 299.96/x
  3. Step 3: Cross multiply
    993.28x = 1,489.90 × 299.96
  4. Step 4: Simplify right side
    993.28x = 446,910.40
  5. Step 5: Solve for x
    x = 446,910.40/993.28
  6. Step 6: Final answer
    x = 449.93

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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.