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Finding the Fourth Proportional to 439.08, 605.52 and 306.24

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Solution

The fourth proportional to 439.08, 605.52 and 306.24 is: 422.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.08 : 605.52 = 306.24 : x
  2. Step 2: Convert to fraction form
    439.08/605.52 = 306.24/x
  3. Step 3: Cross multiply
    439.08x = 605.52 × 306.24
  4. Step 4: Simplify right side
    439.08x = 185,434.44
  5. Step 5: Solve for x
    x = 185,434.44/439.08
  6. Step 6: Final answer
    x = 422.32

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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.