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Finding the Fourth Proportional to 204.44, 280.64 and 188.03

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Solution

The fourth proportional to 204.44, 280.64 and 188.03 is: 258.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.44 : 280.64 = 188.03 : x
  2. Step 2: Convert to fraction form
    204.44/280.64 = 188.03/x
  3. Step 3: Cross multiply
    204.44x = 280.64 × 188.03
  4. Step 4: Simplify right side
    204.44x = 52,768.74
  5. Step 5: Solve for x
    x = 52,768.74/204.44
  6. Step 6: Final answer
    x = 258.12

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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.