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Finding the Fourth Proportional to 414.36, 618.91 and 349.56

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Solution

The fourth proportional to 414.36, 618.91 and 349.56 is: 522.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.36 : 618.91 = 349.56 : x
  2. Step 2: Convert to fraction form
    414.36/618.91 = 349.56/x
  3. Step 3: Cross multiply
    414.36x = 618.91 × 349.56
  4. Step 4: Simplify right side
    414.36x = 216,346.18
  5. Step 5: Solve for x
    x = 216,346.18/414.36
  6. Step 6: Final answer
    x = 522.12

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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.