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Finding the Fourth Proportional to 625.09, 937.82 and 214.23

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Solution

The fourth proportional to 625.09, 937.82 and 214.23 is: 321.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.09 : 937.82 = 214.23 : x
  2. Step 2: Convert to fraction form
    625.09/937.82 = 214.23/x
  3. Step 3: Cross multiply
    625.09x = 937.82 × 214.23
  4. Step 4: Simplify right side
    625.09x = 200,907.96
  5. Step 5: Solve for x
    x = 200,907.96/625.09
  6. Step 6: Final answer
    x = 321.41

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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.