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Finding the Fourth Proportional to 203.92, 304.08 and 202.09

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Solution

The fourth proportional to 203.92, 304.08 and 202.09 is: 301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.92 : 304.08 = 202.09 : x
  2. Step 2: Convert to fraction form
    203.92/304.08 = 202.09/x
  3. Step 3: Cross multiply
    203.92x = 304.08 × 202.09
  4. Step 4: Simplify right side
    203.92x = 61,451.53
  5. Step 5: Solve for x
    x = 61,451.53/203.92
  6. Step 6: Final answer
    x = 301.35

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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.