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Finding the Fourth Proportional to 415.31, 621.34 and 299.97

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Solution

The fourth proportional to 415.31, 621.34 and 299.97 is: 448.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.31 : 621.34 = 299.97 : x
  2. Step 2: Convert to fraction form
    415.31/621.34 = 299.97/x
  3. Step 3: Cross multiply
    415.31x = 621.34 × 299.97
  4. Step 4: Simplify right side
    415.31x = 186,382.61
  5. Step 5: Solve for x
    x = 186,382.61/415.31
  6. Step 6: Final answer
    x = 448.78

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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.