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Finding the Fourth Proportional to 143.40, 196.68 and 135.56

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Solution

The fourth proportional to 143.40, 196.68 and 135.56 is: 185.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.40 : 196.68 = 135.56 : x
  2. Step 2: Convert to fraction form
    143.40/196.68 = 135.56/x
  3. Step 3: Cross multiply
    143.40x = 196.68 × 135.56
  4. Step 4: Simplify right side
    143.40x = 26,660.96
  5. Step 5: Solve for x
    x = 26,660.96/143.40
  6. Step 6: Final answer
    x = 185.92

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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.