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Finding the Fourth Proportional to 143.51, 196.62 and 138.05

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Solution

The fourth proportional to 143.51, 196.62 and 138.05 is: 189.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.51 : 196.62 = 138.05 : x
  2. Step 2: Convert to fraction form
    143.51/196.62 = 138.05/x
  3. Step 3: Cross multiply
    143.51x = 196.62 × 138.05
  4. Step 4: Simplify right side
    143.51x = 27,143.39
  5. Step 5: Solve for x
    x = 27,143.39/143.51
  6. Step 6: Final answer
    x = 189.14

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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.