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Finding the Fourth Proportional to 365.21, 547.79 and 191.82

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Solution

The fourth proportional to 365.21, 547.79 and 191.82 is: 287.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.21 : 547.79 = 191.82 : x
  2. Step 2: Convert to fraction form
    365.21/547.79 = 191.82/x
  3. Step 3: Cross multiply
    365.21x = 547.79 × 191.82
  4. Step 4: Simplify right side
    365.21x = 105,076.12
  5. Step 5: Solve for x
    x = 105,076.12/365.21
  6. Step 6: Final answer
    x = 287.72

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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.