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Finding the Fourth Proportional to 397.66, 596.34 and 178.21

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Solution

The fourth proportional to 397.66, 596.34 and 178.21 is: 267.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.66 : 596.34 = 178.21 : x
  2. Step 2: Convert to fraction form
    397.66/596.34 = 178.21/x
  3. Step 3: Cross multiply
    397.66x = 596.34 × 178.21
  4. Step 4: Simplify right side
    397.66x = 106,273.75
  5. Step 5: Solve for x
    x = 106,273.75/397.66
  6. Step 6: Final answer
    x = 267.25

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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.