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Finding the Fourth Proportional to 142.74, 194.37 and 140.25

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Solution

The fourth proportional to 142.74, 194.37 and 140.25 is: 190.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.74 : 194.37 = 140.25 : x
  2. Step 2: Convert to fraction form
    142.74/194.37 = 140.25/x
  3. Step 3: Cross multiply
    142.74x = 194.37 × 140.25
  4. Step 4: Simplify right side
    142.74x = 27,260.39
  5. Step 5: Solve for x
    x = 27,260.39/142.74
  6. Step 6: Final answer
    x = 190.98

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.