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Finding the Fourth Proportional to 400.20, 596.78 and 396.55

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Solution

The fourth proportional to 400.20, 596.78 and 396.55 is: 591.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.20 : 596.78 = 396.55 : x
  2. Step 2: Convert to fraction form
    400.20/596.78 = 396.55/x
  3. Step 3: Cross multiply
    400.20x = 596.78 × 396.55
  4. Step 4: Simplify right side
    400.20x = 236,651.12
  5. Step 5: Solve for x
    x = 236,651.12/400.20
  6. Step 6: Final answer
    x = 591.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.