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Finding the Fourth Proportional to 193.52, 291.32 and 133.04

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Solution

The fourth proportional to 193.52, 291.32 and 133.04 is: 200.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.52 : 291.32 = 133.04 : x
  2. Step 2: Convert to fraction form
    193.52/291.32 = 133.04/x
  3. Step 3: Cross multiply
    193.52x = 291.32 × 133.04
  4. Step 4: Simplify right side
    193.52x = 38,755.09
  5. Step 5: Solve for x
    x = 38,755.09/193.52
  6. Step 6: Final answer
    x = 200.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.