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Finding the Fourth Proportional to 197.80, 272.64 and 142.46

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Solution

The fourth proportional to 197.80, 272.64 and 142.46 is: 196.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.80 : 272.64 = 142.46 : x
  2. Step 2: Convert to fraction form
    197.80/272.64 = 142.46/x
  3. Step 3: Cross multiply
    197.80x = 272.64 × 142.46
  4. Step 4: Simplify right side
    197.80x = 38,840.29
  5. Step 5: Solve for x
    x = 38,840.29/197.80
  6. Step 6: Final answer
    x = 196.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.