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Finding the Fourth Proportional to 137.27, 204.81 and 129.51

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Solution

The fourth proportional to 137.27, 204.81 and 129.51 is: 193.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.27 : 204.81 = 129.51 : x
  2. Step 2: Convert to fraction form
    137.27/204.81 = 129.51/x
  3. Step 3: Cross multiply
    137.27x = 204.81 × 129.51
  4. Step 4: Simplify right side
    137.27x = 26,524.94
  5. Step 5: Solve for x
    x = 26,524.94/137.27
  6. Step 6: Final answer
    x = 193.23

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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.