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Finding the Fourth Proportional to 414.85, 573.12 and 353.32

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Solution

The fourth proportional to 414.85, 573.12 and 353.32 is: 488.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.85 : 573.12 = 353.32 : x
  2. Step 2: Convert to fraction form
    414.85/573.12 = 353.32/x
  3. Step 3: Cross multiply
    414.85x = 573.12 × 353.32
  4. Step 4: Simplify right side
    414.85x = 202,494.76
  5. Step 5: Solve for x
    x = 202,494.76/414.85
  6. Step 6: Final answer
    x = 488.12

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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.