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Finding the Fourth Proportional to 205.72, 308.08 and 133.36

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Solution

The fourth proportional to 205.72, 308.08 and 133.36 is: 199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.72 : 308.08 = 133.36 : x
  2. Step 2: Convert to fraction form
    205.72/308.08 = 133.36/x
  3. Step 3: Cross multiply
    205.72x = 308.08 × 133.36
  4. Step 4: Simplify right side
    205.72x = 41,085.55
  5. Step 5: Solve for x
    x = 41,085.55/205.72
  6. Step 6: Final answer
    x = 199.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.