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Finding the Fourth Proportional to 399.95, 600.31 and 217.73

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Solution

The fourth proportional to 399.95, 600.31 and 217.73 is: 326.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.95 : 600.31 = 217.73 : x
  2. Step 2: Convert to fraction form
    399.95/600.31 = 217.73/x
  3. Step 3: Cross multiply
    399.95x = 600.31 × 217.73
  4. Step 4: Simplify right side
    399.95x = 130,705.50
  5. Step 5: Solve for x
    x = 130,705.50/399.95
  6. Step 6: Final answer
    x = 326.80

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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.