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Finding the Fourth Proportional to 397.14, 596.00 and 267.39

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Solution

The fourth proportional to 397.14, 596.00 and 267.39 is: 401.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.14 : 596.00 = 267.39 : x
  2. Step 2: Convert to fraction form
    397.14/596.00 = 267.39/x
  3. Step 3: Cross multiply
    397.14x = 596.00 × 267.39
  4. Step 4: Simplify right side
    397.14x = 159,363.10
  5. Step 5: Solve for x
    x = 159,363.10/397.14
  6. Step 6: Final answer
    x = 401.28

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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.