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Finding the Fourth Proportional to 137.76, 204.36 and 135.60

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Solution

The fourth proportional to 137.76, 204.36 and 135.60 is: 201.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.76 : 204.36 = 135.60 : x
  2. Step 2: Convert to fraction form
    137.76/204.36 = 135.60/x
  3. Step 3: Cross multiply
    137.76x = 204.36 × 135.60
  4. Step 4: Simplify right side
    137.76x = 27,711.22
  5. Step 5: Solve for x
    x = 27,711.22/137.76
  6. Step 6: Final answer
    x = 201.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.