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Finding the Fourth Proportional to 147.97, 223 and 133.55

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Solution

The fourth proportional to 147.97, 223 and 133.55 is: 201.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.97 : 223 = 133.55 : x
  2. Step 2: Convert to fraction form
    147.97/223 = 133.55/x
  3. Step 3: Cross multiply
    147.97x = 223 × 133.55
  4. Step 4: Simplify right side
    147.97x = 29,781.65
  5. Step 5: Solve for x
    x = 29,781.65/147.97
  6. Step 6: Final answer
    x = 201.27

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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.