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Finding the Fourth Proportional to 548.55, 822.73 and 178.34

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Solution

The fourth proportional to 548.55, 822.73 and 178.34 is: 267.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.55 : 822.73 = 178.34 : x
  2. Step 2: Convert to fraction form
    548.55/822.73 = 178.34/x
  3. Step 3: Cross multiply
    548.55x = 822.73 × 178.34
  4. Step 4: Simplify right side
    548.55x = 146,725.67
  5. Step 5: Solve for x
    x = 146,725.67/548.55
  6. Step 6: Final answer
    x = 267.48

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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.