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Finding the Fourth Proportional to 134.63, 200.86 and 114.11

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Solution

The fourth proportional to 134.63, 200.86 and 114.11 is: 170.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.63 : 200.86 = 114.11 : x
  2. Step 2: Convert to fraction form
    134.63/200.86 = 114.11/x
  3. Step 3: Cross multiply
    134.63x = 200.86 × 114.11
  4. Step 4: Simplify right side
    134.63x = 22,919.56
  5. Step 5: Solve for x
    x = 22,919.56/134.63
  6. Step 6: Final answer
    x = 170.24

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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.