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Finding the Fourth Proportional to 439.16, 605.91 and 306.38

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Solution

The fourth proportional to 439.16, 605.91 and 306.38 is: 422.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.16 : 605.91 = 306.38 : x
  2. Step 2: Convert to fraction form
    439.16/605.91 = 306.38/x
  3. Step 3: Cross multiply
    439.16x = 605.91 × 306.38
  4. Step 4: Simplify right side
    439.16x = 185,638.71
  5. Step 5: Solve for x
    x = 185,638.71/439.16
  6. Step 6: Final answer
    x = 422.71

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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.