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Finding the Fourth Proportional to 415.33, 625.41 and 300.56

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Solution

The fourth proportional to 415.33, 625.41 and 300.56 is: 452.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.33 : 625.41 = 300.56 : x
  2. Step 2: Convert to fraction form
    415.33/625.41 = 300.56/x
  3. Step 3: Cross multiply
    415.33x = 625.41 × 300.56
  4. Step 4: Simplify right side
    415.33x = 187,973.23
  5. Step 5: Solve for x
    x = 187,973.23/415.33
  6. Step 6: Final answer
    x = 452.59

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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.