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Finding the Fourth Proportional to 397.10, 596.09 and 214.45

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Solution

The fourth proportional to 397.10, 596.09 and 214.45 is: 321.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.10 : 596.09 = 214.45 : x
  2. Step 2: Convert to fraction form
    397.10/596.09 = 214.45/x
  3. Step 3: Cross multiply
    397.10x = 596.09 × 214.45
  4. Step 4: Simplify right side
    397.10x = 127,830.55
  5. Step 5: Solve for x
    x = 127,830.55/397.10
  6. Step 6: Final answer
    x = 321.91

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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.