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Finding the Fourth Proportional to 398.13, 596.58 and 267.85

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Solution

The fourth proportional to 398.13, 596.58 and 267.85 is: 401.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.13 : 596.58 = 267.85 : x
  2. Step 2: Convert to fraction form
    398.13/596.58 = 267.85/x
  3. Step 3: Cross multiply
    398.13x = 596.58 × 267.85
  4. Step 4: Simplify right side
    398.13x = 159,793.95
  5. Step 5: Solve for x
    x = 159,793.95/398.13
  6. Step 6: Final answer
    x = 401.36

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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.