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Finding the Fourth Proportional to 415.43, 619.92 and 369.41

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Solution

The fourth proportional to 415.43, 619.92 and 369.41 is: 551.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.43 : 619.92 = 369.41 : x
  2. Step 2: Convert to fraction form
    415.43/619.92 = 369.41/x
  3. Step 3: Cross multiply
    415.43x = 619.92 × 369.41
  4. Step 4: Simplify right side
    415.43x = 229,006.20
  5. Step 5: Solve for x
    x = 229,006.20/415.43
  6. Step 6: Final answer
    x = 551.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.