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Finding the Fourth Proportional to 142.73, 197.80 and 140.00

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Solution

The fourth proportional to 142.73, 197.80 and 140.00 is: 194.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.73 : 197.80 = 140.00 : x
  2. Step 2: Convert to fraction form
    142.73/197.80 = 140.00/x
  3. Step 3: Cross multiply
    142.73x = 197.80 × 140.00
  4. Step 4: Simplify right side
    142.73x = 27,691.16
  5. Step 5: Solve for x
    x = 27,691.16/142.73
  6. Step 6: Final answer
    x = 194.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.