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Finding the Fourth Proportional to 236.61, 353.28 and 204.09

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Solution

The fourth proportional to 236.61, 353.28 and 204.09 is: 304.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.61 : 353.28 = 204.09 : x
  2. Step 2: Convert to fraction form
    236.61/353.28 = 204.09/x
  3. Step 3: Cross multiply
    236.61x = 353.28 × 204.09
  4. Step 4: Simplify right side
    236.61x = 72,100.92
  5. Step 5: Solve for x
    x = 72,100.92/236.61
  6. Step 6: Final answer
    x = 304.72

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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.