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Finding the Fourth Proportional to 548.80, 823.12 and 202.04

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Solution

The fourth proportional to 548.80, 823.12 and 202.04 is: 303.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.80 : 823.12 = 202.04 : x
  2. Step 2: Convert to fraction form
    548.80/823.12 = 202.04/x
  3. Step 3: Cross multiply
    548.80x = 823.12 × 202.04
  4. Step 4: Simplify right side
    548.80x = 166,303.16
  5. Step 5: Solve for x
    x = 166,303.16/548.80
  6. Step 6: Final answer
    x = 303.03

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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.