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Finding the Fourth Proportional to 353.78, 529.61 and 190.97

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Solution

The fourth proportional to 353.78, 529.61 and 190.97 is: 285.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.78 : 529.61 = 190.97 : x
  2. Step 2: Convert to fraction form
    353.78/529.61 = 190.97/x
  3. Step 3: Cross multiply
    353.78x = 529.61 × 190.97
  4. Step 4: Simplify right side
    353.78x = 101,139.99
  5. Step 5: Solve for x
    x = 101,139.99/353.78
  6. Step 6: Final answer
    x = 285.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.