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Finding the Fourth Proportional to 414.89, 618.96 and 353.33

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Solution

The fourth proportional to 414.89, 618.96 and 353.33 is: 527.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.89 : 618.96 = 353.33 : x
  2. Step 2: Convert to fraction form
    414.89/618.96 = 353.33/x
  3. Step 3: Cross multiply
    414.89x = 618.96 × 353.33
  4. Step 4: Simplify right side
    414.89x = 218,697.14
  5. Step 5: Solve for x
    x = 218,697.14/414.89
  6. Step 6: Final answer
    x = 527.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.