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Finding the Fourth Proportional to 137.01, 204.38 and 133.29

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Solution

The fourth proportional to 137.01, 204.38 and 133.29 is: 198.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.01 : 204.38 = 133.29 : x
  2. Step 2: Convert to fraction form
    137.01/204.38 = 133.29/x
  3. Step 3: Cross multiply
    137.01x = 204.38 × 133.29
  4. Step 4: Simplify right side
    137.01x = 27,241.81
  5. Step 5: Solve for x
    x = 27,241.81/137.01
  6. Step 6: Final answer
    x = 198.83

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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.