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Finding the Fourth Proportional to 204.40, 304.49 and 199.60

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Solution

The fourth proportional to 204.40, 304.49 and 199.60 is: 297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.40 : 304.49 = 199.60 : x
  2. Step 2: Convert to fraction form
    204.40/304.49 = 199.60/x
  3. Step 3: Cross multiply
    204.40x = 304.49 × 199.60
  4. Step 4: Simplify right side
    204.40x = 60,776.20
  5. Step 5: Solve for x
    x = 60,776.20/204.40
  6. Step 6: Final answer
    x = 297.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.