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Finding the Fourth Proportional to 134.76, 201.21 and 114.51

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Solution

The fourth proportional to 134.76, 201.21 and 114.51 is: 170.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.76 : 201.21 = 114.51 : x
  2. Step 2: Convert to fraction form
    134.76/201.21 = 114.51/x
  3. Step 3: Cross multiply
    134.76x = 201.21 × 114.51
  4. Step 4: Simplify right side
    134.76x = 23,040.56
  5. Step 5: Solve for x
    x = 23,040.56/134.76
  6. Step 6: Final answer
    x = 170.97

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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.