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Finding the Fourth Proportional to 137.52, 204.90 and 135.36

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Solution

The fourth proportional to 137.52, 204.90 and 135.36 is: 201.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.52 : 204.90 = 135.36 : x
  2. Step 2: Convert to fraction form
    137.52/204.90 = 135.36/x
  3. Step 3: Cross multiply
    137.52x = 204.90 × 135.36
  4. Step 4: Simplify right side
    137.52x = 27,735.26
  5. Step 5: Solve for x
    x = 27,735.26/137.52
  6. Step 6: Final answer
    x = 201.68

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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.