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Finding the Fourth Proportional to 134.59, 202.81 and 112.27

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Solution

The fourth proportional to 134.59, 202.81 and 112.27 is: 169.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.59 : 202.81 = 112.27 : x
  2. Step 2: Convert to fraction form
    134.59/202.81 = 112.27/x
  3. Step 3: Cross multiply
    134.59x = 202.81 × 112.27
  4. Step 4: Simplify right side
    134.59x = 22,769.48
  5. Step 5: Solve for x
    x = 22,769.48/134.59
  6. Step 6: Final answer
    x = 169.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.