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Finding the Fourth Proportional to 625.21, 937.83 and 214.34

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Solution

The fourth proportional to 625.21, 937.83 and 214.34 is: 321.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.21 : 937.83 = 214.34 : x
  2. Step 2: Convert to fraction form
    625.21/937.83 = 214.34/x
  3. Step 3: Cross multiply
    625.21x = 937.83 × 214.34
  4. Step 4: Simplify right side
    625.21x = 201,018.18
  5. Step 5: Solve for x
    x = 201,018.18/625.21
  6. Step 6: Final answer
    x = 321.52

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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.