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Finding the Fourth Proportional to 397.85, 596.85 and 178.39

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Solution

The fourth proportional to 397.85, 596.85 and 178.39 is: 267.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.85 : 596.85 = 178.39 : x
  2. Step 2: Convert to fraction form
    397.85/596.85 = 178.39/x
  3. Step 3: Cross multiply
    397.85x = 596.85 × 178.39
  4. Step 4: Simplify right side
    397.85x = 106,472.07
  5. Step 5: Solve for x
    x = 106,472.07/397.85
  6. Step 6: Final answer
    x = 267.62

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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.