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Finding the Fourth Proportional to 134.93, 201.57 and 114.75

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Solution

The fourth proportional to 134.93, 201.57 and 114.75 is: 171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.93 : 201.57 = 114.75 : x
  2. Step 2: Convert to fraction form
    134.93/201.57 = 114.75/x
  3. Step 3: Cross multiply
    134.93x = 201.57 × 114.75
  4. Step 4: Simplify right side
    134.93x = 23,130.37
  5. Step 5: Solve for x
    x = 23,130.37/134.93
  6. Step 6: Final answer
    x = 171.42

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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.