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Finding the Fourth Proportional to 414.72, 573.30 and 349.20

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Solution

The fourth proportional to 414.72, 573.30 and 349.20 is: 482.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.72 : 573.30 = 349.20 : x
  2. Step 2: Convert to fraction form
    414.72/573.30 = 349.20/x
  3. Step 3: Cross multiply
    414.72x = 573.30 × 349.20
  4. Step 4: Simplify right side
    414.72x = 200,196.36
  5. Step 5: Solve for x
    x = 200,196.36/414.72
  6. Step 6: Final answer
    x = 482.73

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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.