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Finding the Fourth Proportional to 204.08, 280.04 and 185.58

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Solution

The fourth proportional to 204.08, 280.04 and 185.58 is: 254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.08 : 280.04 = 185.58 : x
  2. Step 2: Convert to fraction form
    204.08/280.04 = 185.58/x
  3. Step 3: Cross multiply
    204.08x = 280.04 × 185.58
  4. Step 4: Simplify right side
    204.08x = 51,968.90
  5. Step 5: Solve for x
    x = 51,968.90/204.08
  6. Step 6: Final answer
    x = 254.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.