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Finding the Fourth Proportional to 143.96, 197.51 and 137.07

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Solution

The fourth proportional to 143.96, 197.51 and 137.07 is: 188.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.96 : 197.51 = 137.07 : x
  2. Step 2: Convert to fraction form
    143.96/197.51 = 137.07/x
  3. Step 3: Cross multiply
    143.96x = 197.51 × 137.07
  4. Step 4: Simplify right side
    143.96x = 27,072.01
  5. Step 5: Solve for x
    x = 27,072.01/143.96
  6. Step 6: Final answer
    x = 188.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.