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Finding the Fourth Proportional to 400.32, 596.97 and 396.67

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Solution

The fourth proportional to 400.32, 596.97 and 396.67 is: 591.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.32 : 596.97 = 396.67 : x
  2. Step 2: Convert to fraction form
    400.32/596.97 = 396.67/x
  3. Step 3: Cross multiply
    400.32x = 596.97 × 396.67
  4. Step 4: Simplify right side
    400.32x = 236,800.09
  5. Step 5: Solve for x
    x = 236,800.09/400.32
  6. Step 6: Final answer
    x = 591.53

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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.