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Finding the Fourth Proportional to 136.48, 203.81 and 129.46

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Solution

The fourth proportional to 136.48, 203.81 and 129.46 is: 193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.48 : 203.81 = 129.46 : x
  2. Step 2: Convert to fraction form
    136.48/203.81 = 129.46/x
  3. Step 3: Cross multiply
    136.48x = 203.81 × 129.46
  4. Step 4: Simplify right side
    136.48x = 26,384.57
  5. Step 5: Solve for x
    x = 26,384.57/136.48
  6. Step 6: Final answer
    x = 193.33

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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.