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Finding the Fourth Proportional to 548.39, 821.93 and 255.50

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Solution

The fourth proportional to 548.39, 821.93 and 255.50 is: 382.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.39 : 821.93 = 255.50 : x
  2. Step 2: Convert to fraction form
    548.39/821.93 = 255.50/x
  3. Step 3: Cross multiply
    548.39x = 821.93 × 255.50
  4. Step 4: Simplify right side
    548.39x = 210,000.81
  5. Step 5: Solve for x
    x = 210,000.81/548.39
  6. Step 6: Final answer
    x = 382.94

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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.