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Finding the Fourth Proportional to 625.41, 938.27 and 214.55

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Solution

The fourth proportional to 625.41, 938.27 and 214.55 is: 321.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.41 : 938.27 = 214.55 : x
  2. Step 2: Convert to fraction form
    625.41/938.27 = 214.55/x
  3. Step 3: Cross multiply
    625.41x = 938.27 × 214.55
  4. Step 4: Simplify right side
    625.41x = 201,301.67
  5. Step 5: Solve for x
    x = 201,301.67/625.41
  6. Step 6: Final answer
    x = 321.87

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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.