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Finding the Fourth Proportional to 204.21, 304.62 and 201.57

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Solution

The fourth proportional to 204.21, 304.62 and 201.57 is: 300.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.21 : 304.62 = 201.57 : x
  2. Step 2: Convert to fraction form
    204.21/304.62 = 201.57/x
  3. Step 3: Cross multiply
    204.21x = 304.62 × 201.57
  4. Step 4: Simplify right side
    204.21x = 61,402.25
  5. Step 5: Solve for x
    x = 61,402.25/204.21
  6. Step 6: Final answer
    x = 300.68

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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.