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Finding the Fourth Proportional to 625.56, 938.20 and 214.68

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Solution

The fourth proportional to 625.56, 938.20 and 214.68 is: 321.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.56 : 938.20 = 214.68 : x
  2. Step 2: Convert to fraction form
    625.56/938.20 = 214.68/x
  3. Step 3: Cross multiply
    625.56x = 938.20 × 214.68
  4. Step 4: Simplify right side
    625.56x = 201,412.78
  5. Step 5: Solve for x
    x = 201,412.78/625.56
  6. Step 6: Final answer
    x = 321.97

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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.