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Finding the Fourth Proportional to 134.22, 200.48 and 114.87

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Solution

The fourth proportional to 134.22, 200.48 and 114.87 is: 171.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.22 : 200.48 = 114.87 : x
  2. Step 2: Convert to fraction form
    134.22/200.48 = 114.87/x
  3. Step 3: Cross multiply
    134.22x = 200.48 × 114.87
  4. Step 4: Simplify right side
    134.22x = 23,028.56
  5. Step 5: Solve for x
    x = 23,028.56/134.22
  6. Step 6: Final answer
    x = 171.57

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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.