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Finding the Fourth Proportional to 142.58, 197.58 and 139.84

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Solution

The fourth proportional to 142.58, 197.58 and 139.84 is: 193.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.58 : 197.58 = 139.84 : x
  2. Step 2: Convert to fraction form
    142.58/197.58 = 139.84/x
  3. Step 3: Cross multiply
    142.58x = 197.58 × 139.84
  4. Step 4: Simplify right side
    142.58x = 27,629.09
  5. Step 5: Solve for x
    x = 27,629.09/142.58
  6. Step 6: Final answer
    x = 193.79

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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.