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Finding the Fourth Proportional to 365.56, 547.71 and 191.97

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Solution

The fourth proportional to 365.56, 547.71 and 191.97 is: 287.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.56 : 547.71 = 191.97 : x
  2. Step 2: Convert to fraction form
    365.56/547.71 = 191.97/x
  3. Step 3: Cross multiply
    365.56x = 547.71 × 191.97
  4. Step 4: Simplify right side
    365.56x = 105,144.25
  5. Step 5: Solve for x
    x = 105,144.25/365.56
  6. Step 6: Final answer
    x = 287.62

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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.