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Finding the Fourth Proportional to 381.36, 569.34 and 350.88

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Solution

The fourth proportional to 381.36, 569.34 and 350.88 is: 523.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.36 : 569.34 = 350.88 : x
  2. Step 2: Convert to fraction form
    381.36/569.34 = 350.88/x
  3. Step 3: Cross multiply
    381.36x = 569.34 × 350.88
  4. Step 4: Simplify right side
    381.36x = 199,770.02
  5. Step 5: Solve for x
    x = 199,770.02/381.36
  6. Step 6: Final answer
    x = 523.84

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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.