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Finding the Fourth Proportional to 547.94, 821.36 and 239.88

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Solution

The fourth proportional to 547.94, 821.36 and 239.88 is: 359.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.94 : 821.36 = 239.88 : x
  2. Step 2: Convert to fraction form
    547.94/821.36 = 239.88/x
  3. Step 3: Cross multiply
    547.94x = 821.36 × 239.88
  4. Step 4: Simplify right side
    547.94x = 197,027.84
  5. Step 5: Solve for x
    x = 197,027.84/547.94
  6. Step 6: Final answer
    x = 359.58

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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.