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Finding the Fourth Proportional to 439.14, 604.87 and 306.12

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Solution

The fourth proportional to 439.14, 604.87 and 306.12 is: 421.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.14 : 604.87 = 306.12 : x
  2. Step 2: Convert to fraction form
    439.14/604.87 = 306.12/x
  3. Step 3: Cross multiply
    439.14x = 604.87 × 306.12
  4. Step 4: Simplify right side
    439.14x = 185,163.90
  5. Step 5: Solve for x
    x = 185,163.90/439.14
  6. Step 6: Final answer
    x = 421.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.