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Finding the Fourth Proportional to 380.36, 523.86 and 353.48

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Solution

The fourth proportional to 380.36, 523.86 and 353.48 is: 486.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.36 : 523.86 = 353.48 : x
  2. Step 2: Convert to fraction form
    380.36/523.86 = 353.48/x
  3. Step 3: Cross multiply
    380.36x = 523.86 × 353.48
  4. Step 4: Simplify right side
    380.36x = 185,174.03
  5. Step 5: Solve for x
    x = 185,174.03/380.36
  6. Step 6: Final answer
    x = 486.84

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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.