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Finding the Fourth Proportional to 380.62, 574.09 and 335.54

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Solution

The fourth proportional to 380.62, 574.09 and 335.54 is: 506.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.62 : 574.09 = 335.54 : x
  2. Step 2: Convert to fraction form
    380.62/574.09 = 335.54/x
  3. Step 3: Cross multiply
    380.62x = 574.09 × 335.54
  4. Step 4: Simplify right side
    380.62x = 192,630.16
  5. Step 5: Solve for x
    x = 192,630.16/380.62
  6. Step 6: Final answer
    x = 506.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.