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Finding the Fourth Proportional to 547.71, 821.92 and 239.57

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Solution

The fourth proportional to 547.71, 821.92 and 239.57 is: 359.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.71 : 821.92 = 239.57 : x
  2. Step 2: Convert to fraction form
    547.71/821.92 = 239.57/x
  3. Step 3: Cross multiply
    547.71x = 821.92 × 239.57
  4. Step 4: Simplify right side
    547.71x = 196,907.37
  5. Step 5: Solve for x
    x = 196,907.37/547.71
  6. Step 6: Final answer
    x = 359.51

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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.