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Finding the Fourth Proportional to 134.93, 201.42 and 131.09

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Solution

The fourth proportional to 134.93, 201.42 and 131.09 is: 195.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.93 : 201.42 = 131.09 : x
  2. Step 2: Convert to fraction form
    134.93/201.42 = 131.09/x
  3. Step 3: Cross multiply
    134.93x = 201.42 × 131.09
  4. Step 4: Simplify right side
    134.93x = 26,403.14
  5. Step 5: Solve for x
    x = 26,403.14/134.93
  6. Step 6: Final answer
    x = 195.68

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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.