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Finding the Fourth Proportional to 400.46, 599.60 and 214.97

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Solution

The fourth proportional to 400.46, 599.60 and 214.97 is: 321.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.46 : 599.60 = 214.97 : x
  2. Step 2: Convert to fraction form
    400.46/599.60 = 214.97/x
  3. Step 3: Cross multiply
    400.46x = 599.60 × 214.97
  4. Step 4: Simplify right side
    400.46x = 128,893.55
  5. Step 5: Solve for x
    x = 128,893.55/400.46
  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.