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Finding the Fourth Proportional to 548.78, 822.96 and 202.04

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Solution

The fourth proportional to 548.78, 822.96 and 202.04 is: 302.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.78 : 822.96 = 202.04 : x
  2. Step 2: Convert to fraction form
    548.78/822.96 = 202.04/x
  3. Step 3: Cross multiply
    548.78x = 822.96 × 202.04
  4. Step 4: Simplify right side
    548.78x = 166,270.84
  5. Step 5: Solve for x
    x = 166,270.84/548.78
  6. Step 6: Final answer
    x = 302.98

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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.