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Finding the Fourth Proportional to 355.10, 531.74 and 217.73

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Solution

The fourth proportional to 355.10, 531.74 and 217.73 is: 326.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.10 : 531.74 = 217.73 : x
  2. Step 2: Convert to fraction form
    355.10/531.74 = 217.73/x
  3. Step 3: Cross multiply
    355.10x = 531.74 × 217.73
  4. Step 4: Simplify right side
    355.10x = 115,775.75
  5. Step 5: Solve for x
    x = 115,775.75/355.10
  6. Step 6: Final answer
    x = 326.04

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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.