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Finding the Fourth Proportional to 625.44, 938.20 and 214.60

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Solution

The fourth proportional to 625.44, 938.20 and 214.60 is: 321.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.44 : 938.20 = 214.60 : x
  2. Step 2: Convert to fraction form
    625.44/938.20 = 214.60/x
  3. Step 3: Cross multiply
    625.44x = 938.20 × 214.60
  4. Step 4: Simplify right side
    625.44x = 201,337.72
  5. Step 5: Solve for x
    x = 201,337.72/625.44
  6. Step 6: Final answer
    x = 321.91

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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.