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Finding the Fourth Proportional to 548.47, 822.66 and 178.27

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Solution

The fourth proportional to 548.47, 822.66 and 178.27 is: 267.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.47 : 822.66 = 178.27 : x
  2. Step 2: Convert to fraction form
    548.47/822.66 = 178.27/x
  3. Step 3: Cross multiply
    548.47x = 822.66 × 178.27
  4. Step 4: Simplify right side
    548.47x = 146,657.78
  5. Step 5: Solve for x
    x = 146,657.78/548.47
  6. Step 6: Final answer
    x = 267.40

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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.