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Finding the Fourth Proportional to 548.10, 821.44 and 239.58

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Solution

The fourth proportional to 548.10, 821.44 and 239.58 is: 359.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.10 : 821.44 = 239.58 : x
  2. Step 2: Convert to fraction form
    548.10/821.44 = 239.58/x
  3. Step 3: Cross multiply
    548.10x = 821.44 × 239.58
  4. Step 4: Simplify right side
    548.10x = 196,800.60
  5. Step 5: Solve for x
    x = 196,800.60/548.10
  6. Step 6: Final answer
    x = 359.06

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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.