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Finding the Fourth Proportional to 299.31, 451.86 and 297.69

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Solution

The fourth proportional to 299.31, 451.86 and 297.69 is: 449.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.31 : 451.86 = 297.69 : x
  2. Step 2: Convert to fraction form
    299.31/451.86 = 297.69/x
  3. Step 3: Cross multiply
    299.31x = 451.86 × 297.69
  4. Step 4: Simplify right side
    299.31x = 134,514.20
  5. Step 5: Solve for x
    x = 134,514.20/299.31
  6. Step 6: Final answer
    x = 449.41

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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.