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Finding the Fourth Proportional to 135.54, 201.78 and 129.96

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Solution

The fourth proportional to 135.54, 201.78 and 129.96 is: 193.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.54 : 201.78 = 129.96 : x
  2. Step 2: Convert to fraction form
    135.54/201.78 = 129.96/x
  3. Step 3: Cross multiply
    135.54x = 201.78 × 129.96
  4. Step 4: Simplify right side
    135.54x = 26,223.33
  5. Step 5: Solve for x
    x = 26,223.33/135.54
  6. Step 6: Final answer
    x = 193.47

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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.