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Finding the Fourth Proportional to 547.82, 821.54 and 239.46

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Solution

The fourth proportional to 547.82, 821.54 and 239.46 is: 359.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.82 : 821.54 = 239.46 : x
  2. Step 2: Convert to fraction form
    547.82/821.54 = 239.46/x
  3. Step 3: Cross multiply
    547.82x = 821.54 × 239.46
  4. Step 4: Simplify right side
    547.82x = 196,724.77
  5. Step 5: Solve for x
    x = 196,724.77/547.82
  6. Step 6: Final answer
    x = 359.11

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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.