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Finding the Fourth Proportional to 310.83, 428.21 and 217.41

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Solution

The fourth proportional to 310.83, 428.21 and 217.41 is: 299.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.83 : 428.21 = 217.41 : x
  2. Step 2: Convert to fraction form
    310.83/428.21 = 217.41/x
  3. Step 3: Cross multiply
    310.83x = 428.21 × 217.41
  4. Step 4: Simplify right side
    310.83x = 93,097.14
  5. Step 5: Solve for x
    x = 93,097.14/310.83
  6. Step 6: Final answer
    x = 299.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.