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Finding the Fourth Proportional to 137.11, 204.46 and 135.89

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Solution

The fourth proportional to 137.11, 204.46 and 135.89 is: 202.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.11 : 204.46 = 135.89 : x
  2. Step 2: Convert to fraction form
    137.11/204.46 = 135.89/x
  3. Step 3: Cross multiply
    137.11x = 204.46 × 135.89
  4. Step 4: Simplify right side
    137.11x = 27,783.39
  5. Step 5: Solve for x
    x = 27,783.39/137.11
  6. Step 6: Final answer
    x = 202.64

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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.