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Finding the Fourth Proportional to 299.36, 451.13 and 281.12

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Solution

The fourth proportional to 299.36, 451.13 and 281.12 is: 423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.36 : 451.13 = 281.12 : x
  2. Step 2: Convert to fraction form
    299.36/451.13 = 281.12/x
  3. Step 3: Cross multiply
    299.36x = 451.13 × 281.12
  4. Step 4: Simplify right side
    299.36x = 126,821.67
  5. Step 5: Solve for x
    x = 126,821.67/299.36
  6. Step 6: Final answer
    x = 423.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.