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Finding the Fourth Proportional to 137.35, 204.48 and 136.54

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Solution

The fourth proportional to 137.35, 204.48 and 136.54 is: 203.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.35 : 204.48 = 136.54 : x
  2. Step 2: Convert to fraction form
    137.35/204.48 = 136.54/x
  3. Step 3: Cross multiply
    137.35x = 204.48 × 136.54
  4. Step 4: Simplify right side
    137.35x = 27,919.02
  5. Step 5: Solve for x
    x = 27,919.02/137.35
  6. Step 6: Final answer
    x = 203.27

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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.