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Finding the Fourth Proportional to 137.43, 205.02 and 114.75

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Solution

The fourth proportional to 137.43, 205.02 and 114.75 is: 171.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.43 : 205.02 = 114.75 : x
  2. Step 2: Convert to fraction form
    137.43/205.02 = 114.75/x
  3. Step 3: Cross multiply
    137.43x = 205.02 × 114.75
  4. Step 4: Simplify right side
    137.43x = 23,526.05
  5. Step 5: Solve for x
    x = 23,526.05/137.43
  6. Step 6: Final answer
    x = 171.19

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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.