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Finding the Fourth Proportional to 548, 822.04 and 182.78

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Solution

The fourth proportional to 548, 822.04 and 182.78 is: 274.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    548 : 822.04 = 182.78 : x
  2. Step 2: Convert to fraction form
    548/822.04 = 182.78/x
  3. Step 3: Cross multiply
    548x = 822.04 × 182.78
  4. Step 4: Simplify right side
    548x = 150,252.47
  5. Step 5: Solve for x
    x = 150,252.47/548
  6. Step 6: Final answer
    x = 274.18

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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.